256515704202112 has 64 divisors (see below), whose sum is σ = 528903989337600. Its totient is φ = 123793006579200.

The previous prime is 256515704202083. The next prime is 256515704202113. The reversal of 256515704202112 is 211202407515652.

256515704202112 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 (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256515704202113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83781214 + ... + 86788957.

It is an arithmetic number, because the mean of its divisors is an integer number (8264124833400).

Almost surely, 2^{256515704202112} is an apocalyptic number.

It is an amenable number.

256515704202112 is an abundant number, since it is smaller than the sum of its proper divisors (272388285135488).

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

256515704202112 is a wasteful number, since it uses less digits than its factorization.

256515704202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170570595 (or 170570583 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 43.

The spelling of 256515704202112 in words is "two hundred fifty-six trillion, five hundred fifteen billion, seven hundred four million, two hundred two thousand, one hundred twelve".