257977125648 has 120 divisors (see below), whose sum is σ = 787745518560. Its totient is φ = 78161633280.

The previous prime is 257977125643. The next prime is 257977125671. The reversal of 257977125648 is 846521779752.

257977125648 is a `hidden beast` number, since 2 + 57 + 9 + 7 + 7 + 12 + 564 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (257977125643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13516240 + ... + 13535312.

It is an arithmetic number, because the mean of its divisors is an integer number (6564545988).

Almost surely, 2^257977125648 is an apocalyptic number.

It is an amenable number.

257977125648 is an abundant number, since it is smaller than the sum of its proper divisors (529768392912).

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

257977125648 is a wasteful number, since it uses less digits than its factorization.

257977125648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27637 (or 27628 counting only the distinct ones).

The product of its digits is 59270400, while the sum is 63.

The spelling of 257977125648 in words is "two hundred fifty-seven billion, nine hundred seventy-seven million, one hundred twenty-five thousand, six hundred forty-eight".