256500120864 has 96 divisors (see below), whose sum is σ = 756632548224. Its totient is φ = 75491665920.

The previous prime is 256500120853. The next prime is 256500120883. The reversal of 256500120864 is 468021005652.

256500120864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4439317 + ... + 4496724.

It is an arithmetic number, because the mean of its divisors is an integer number (7881589044).

Almost surely, 2^256500120864 is an apocalyptic number.

256500120864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256500120864 is an abundant number, since it is smaller than the sum of its proper divisors (500132427360).

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

256500120864 is a wasteful number, since it uses less digits than its factorization.

256500120864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8936090 (or 8936082 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 256500120864 in words is "two hundred fifty-six billion, five hundred million, one hundred twenty thousand, eight hundred sixty-four".