diff --git a/packages/babel-parser/src/plugins/flow.js b/packages/babel-parser/src/plugins/flow.js
index e9b4cc32c37f..54a051b46828 100644
--- a/packages/babel-parser/src/plugins/flow.js
+++ b/packages/babel-parser/src/plugins/flow.js
@@ -1263,7 +1263,10 @@ export default (superClass: Class<Parser>): Class<Parser> =>
           });
 
         case tt.bracketL:
-          return this.flowParseTupleType();
+          this.state.noAnonFunctionType = false;
+          type = this.flowParseTupleType();
+          this.state.noAnonFunctionType = oldNoAnonFunctionType;
+          return type;
 
         case tt.relational:
           if (this.state.value === "<") {
@@ -1352,15 +1355,27 @@ export default (superClass: Class<Parser>): Class<Parser> =>
         case tt.plusMin:
           if (this.state.value === "-") {
             this.next();
-            if (!this.match(tt.num)) {
-              this.unexpected(null, `Unexpected token, expected "number"`);
+            if (this.match(tt.num)) {
+              return this.parseLiteral(
+                -this.state.value,
+                "NumberLiteralTypeAnnotation",
+                node.start,
+                node.loc.start,
+              );
+            }
+
+            if (this.match(tt.bigint)) {
+              return this.parseLiteral(
+                -this.state.value,
+                "BigIntLiteralTypeAnnotation",
+                node.start,
+                node.loc.start,
+              );
             }
 
-            return this.parseLiteral(
-              -this.state.value,
-              "NumberLiteralTypeAnnotation",
-              node.start,
-              node.loc.start,
+            this.unexpected(
+              null,
+              `Unexpected token, expected "number" or "bigint"`,
             );
           }
 
@@ -1371,6 +1386,12 @@ export default (superClass: Class<Parser>): Class<Parser> =>
             "NumberLiteralTypeAnnotation",
           );
 
+        case tt.bigint:
+          return this.parseLiteral(
+            this.state.value,
+            "BigIntLiteralTypeAnnotation",
+          );
+
         case tt._void:
           this.next();
           return this.finishNode(node, "VoidTypeAnnotation");
diff --git a/packages/babel-parser/test/fixtures/flow/literal-types/invalid-number-negative/options.json b/packages/babel-parser/test/fixtures/flow/literal-types/invalid-number-negative/options.json
index 5667a8ffb0c0..d4fadede72f8 100644
--- a/packages/babel-parser/test/fixtures/flow/literal-types/invalid-number-negative/options.json
+++ b/packages/babel-parser/test/fixtures/flow/literal-types/invalid-number-negative/options.json
@@ -1,3 +1,3 @@
 {
-  "throws": "Unexpected token, expected \"number\" (1:8)"
+  "throws": "Unexpected token, expected \"number\" or \"bigint\" (1:8)"
 }
diff --git a/scripts/tests/flow/flow_tests_whitelist.txt b/scripts/tests/flow/flow_tests_whitelist.txt
index 81758912b0f4..1c9cc9519f76 100644
--- a/scripts/tests/flow/flow_tests_whitelist.txt
+++ b/scripts/tests/flow/flow_tests_whitelist.txt
@@ -9,7 +9,6 @@
 # Entries should be removed incrementally as the babel parser is improved.
 
 JSX_invalid/migrated_0000.js
-arrow_function/tuple_return_type.js
 arrow_function_invalid/migrated_0002.js
 async_await/migrated_0007.js
 async_await/migrated_0020.js
@@ -27,22 +26,7 @@ private_class_properties/getter_duplicate.js
 private_class_properties/setter_and_field.js
 private_class_properties/setter_duplicate.js
 types/member/reserved_words.js
-types/bigint_literal/migrated_0000.js
-types/bigint_literal/migrated_0002.js
-types/bigint_literal/migrated_0003.js
-types/bigint_literal/migrated_0004.js
-types/bigint_literal/migrated_0005.js
-types/bigint_literal/migrated_0006.js
-types/bigint_literal/migrated_0007.js
-types/bigint_literal/migrated_0008.js
-types/bigint_literal/migrated_0009.js
 class_method_kinds/polymorphic_getter.js
-numbers/underscored_bin.js
-numbers/underscored_float.js
-numbers/underscored_float_whole.js
-numbers/underscored_hex.js
-numbers/underscored_number.js
-numbers/underscored_oct.js
 ES6/modules/migrated_0020.js
 export_import_reserved_words/migrated_0003.js
 export_statements/export_trailing_comma.js
diff --git a/scripts/tests/flow/run_babel_parser_flow_tests.js b/scripts/tests/flow/run_babel_parser_flow_tests.js
index ffad821ba1d5..f087fb6614e3 100644
--- a/scripts/tests/flow/run_babel_parser_flow_tests.js
+++ b/scripts/tests/flow/run_babel_parser_flow_tests.js
@@ -117,6 +117,7 @@ const options = {
     "classPrivateProperties",
     "classPrivateMethods",
     "bigInt",
+    "numericSeparator",
   ],
   sourceType: "module",
   ranges: true,