256057672864 has 48 divisors (see below), whose sum is σ = 576485997696. Its totient is φ = 109671148800.

The previous prime is 256057672853. The next prime is 256057672889. The reversal of 256057672864 is 468276750652.

256057672864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 256057672799 and 256057672808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10509 + ... + 715699.

It is an arithmetic number, because the mean of its divisors is an integer number (12010124952).

Almost surely, 2^256057672864 is an apocalyptic number.

It is an amenable number.

256057672864 is an abundant number, since it is smaller than the sum of its proper divisors (320428324832).

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

256057672864 is a wasteful number, since it uses less digits than its factorization.

256057672864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706829 (or 706821 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 58.

The spelling of 256057672864 in words is "two hundred fifty-six billion, fifty-seven million, six hundred seventy-two thousand, eight hundred sixty-four".