256742751131560 has 64 divisors (see below), whose sum is σ = 585812686233600. Its totient is φ = 101249749440000.

The previous prime is 256742751131557. The next prime is 256742751131563. The reversal of 256742751131560 is 65131157247652.

256742751131560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256742751131557) and next prime (256742751131563).

It is not an unprimeable number, because it can be changed into a prime (256742751131563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375700185 + ... + 376382935.

It is an arithmetic number, because the mean of its divisors is an integer number (9153323222400).

Almost surely, 2^{256742751131560} is an apocalyptic number.

256742751131560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256742751131560 is an abundant number, since it is smaller than the sum of its proper divisors (329069935102040).

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

256742751131560 is a wasteful number, since it uses less digits than its factorization.

256742751131560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815242 (or 815238 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 55.

The spelling of 256742751131560 in words is "two hundred fifty-six trillion, seven hundred forty-two billion, seven hundred fifty-one million, one hundred thirty-one thousand, five hundred sixty".