256753027328 has 36 divisors (see below), whose sum is σ = 585717847680. Its totient is φ = 110037010944.

The previous prime is 256753027309. The next prime is 256753027337. The reversal of 256753027328 is 823720357652.

256753027328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

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 3 ways as a sum of consecutive naturals, for example, 71636888 + ... + 71640471.

Almost surely, 2^256753027328 is an apocalyptic number.

256753027328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

256753027328 is an abundant number, since it is smaller than the sum of its proper divisors (328964820352).

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

256753027328 is an equidigital number, since it uses as much as digits as its factorization.

256753027328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143277382 (or 143277368 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 50.

The spelling of 256753027328 in words is "two hundred fifty-six billion, seven hundred fifty-three million, twenty-seven thousand, three hundred twenty-eight".