127685006400 has 168 divisors, whose sum is σ = 478758097600. Its totient is φ = 29185136640.

The previous prime is 127685006261. The next prime is 127685006429. The reversal of 127685006400 is 4600586721.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1866475 + ... + 1933674.

Almost surely, 2^127685006400 is an apocalyptic number.

127685006400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127685006400 is an abundant number, since it is smaller than the sum of its proper divisors (351073091200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127685006400 is a wasteful number, since it uses less digits than its factorization.

127685006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3800181 (or 3800166 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 127685006400 in words is "one hundred twenty-seven billion, six hundred eighty-five million, six thousand, four hundred".