257672571014400 has 216 divisors, whose sum is σ = 858792708894624. Its totient is φ = 68032361472000.

The previous prime is 257672571014399. The next prime is 257672571014561. The reversal of 257672571014400 is 4410175276752.

It is a super-2 number, since 2×257672571014400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 64498654 + ... + 68377053.

Almost surely, 2^{257672571014400} is an apocalyptic number.

257672571014400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257672571014400 is an abundant number, since it is smaller than the sum of its proper divisors (601120137880224).

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

257672571014400 is a wasteful number, since it uses less digits than its factorization.

257672571014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132875837 (or 132875818 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 51.

The spelling of 257672571014400 in words is "two hundred fifty-seven trillion, six hundred seventy-two billion, five hundred seventy-one million, fourteen thousand, four hundred".