257704008968 has 32 divisors (see below), whose sum is σ = 552456068160. Its totient is φ = 110397936960.

The previous prime is 257704008931. The next prime is 257704008997. The reversal of 257704008968 is 869800407752.

It is a super-2 number, since 2×257704008968² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 837671 + ... + 1103222.

It is an arithmetic number, because the mean of its divisors is an integer number (17264252130).

Almost surely, 2^257704008968 is an apocalyptic number.

257704008968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

257704008968 is an abundant number, since it is smaller than the sum of its proper divisors (294752059192).

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

257704008968 is a wasteful number, since it uses less digits than its factorization.

257704008968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943277 (or 1943273 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 56.

The spelling of 257704008968 in words is "two hundred fifty-seven billion, seven hundred four million, eight thousand, nine hundred sixty-eight".