256557092688000 has 3072 divisors, whose sum is σ = 1076852670566400. Its totient is φ = 59619151872000.

The previous prime is 256557092687983. The next prime is 256557092688007. The reversal of 256557092688000 is 886290755652.

256557092688000 is a `hidden beast` number, since 2 + 56 + 5 + 570 + 9 + 2 + 6 + 8 + 8 + 0 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (256557092688007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 321903503602 + ... + 321903504398.

It is an arithmetic number, because the mean of its divisors is an integer number (350537978700).

Almost surely, 2^{256557092688000} is an apocalyptic number.

256557092688000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256557092688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538426335283200).

256557092688000 is an abundant number, since it is smaller than the sum of its proper divisors (820295577878400).

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

256557092688000 is a wasteful number, since it uses less digits than its factorization.

256557092688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 256557092688000 in words is "two hundred fifty-six trillion, five hundred fifty-seven billion, ninety-two million, six hundred eighty-eight thousand".