256887121024 has 32 divisors (see below), whose sum is σ = 513890888940. Its totient is φ = 127910584320.

The previous prime is 256887121021. The next prime is 256887121033. The reversal of 256887121024 is 420121788652.

256887121024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 253443778624 + 3443342400 = 503432^2 + 58680^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (256887121021) 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, 4132909 + ... + 4194604.

Almost surely, 2^256887121024 is an apocalyptic number.

It is an amenable number.

256887121024 is an abundant number, since it is smaller than the sum of its proper divisors (257003767916).

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

256887121024 is an equidigital number, since it uses as much as digits as its factorization.

256887121024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8327768 (or 8327756 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The spelling of 256887121024 in words is "two hundred fifty-six billion, eight hundred eighty-seven million, one hundred twenty-one thousand, twenty-four".