256768175752 has 16 divisors (see below), whose sum is σ = 525207632400. Its totient is φ = 116712807120.

The previous prime is 256768175743. The next prime is 256768175759. The reversal of 256768175752 is 257571867652.

It is a happy number.

256768175752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (256768175759) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1458910002 + ... + 1458910177.

It is an arithmetic number, because the mean of its divisors is an integer number (32825477025).

Almost surely, 2^256768175752 is an apocalyptic number.

256768175752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

256768175752 is an abundant number, since it is smaller than the sum of its proper divisors (268439456648).

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

256768175752 is a wasteful number, since it uses less digits than its factorization.

256768175752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917820196 (or 2917820192 counting only the distinct ones).

The product of its digits is 49392000, while the sum is 61.

The spelling of 256768175752 in words is "two hundred fifty-six billion, seven hundred sixty-eight million, one hundred seventy-five thousand, seven hundred fifty-two".