256742712453160 has 256 divisors, whose sum is σ = 634069223424000. Its totient is φ = 93197489172480.

The previous prime is 256742712453107. The next prime is 256742712453211. The reversal of 256742712453160 is 61354217247652.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5675981904 + ... + 5676027136.

It is an arithmetic number, because the mean of its divisors is an integer number (2476832904000).

Almost surely, 2^{256742712453160} is an apocalyptic number.

256742712453160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256742712453160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317034611712000).

256742712453160 is an abundant number, since it is smaller than the sum of its proper divisors (377326510970840).

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

256742712453160 is a wasteful number, since it uses less digits than its factorization.

256742712453160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47736 (or 47732 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 55.

The spelling of 256742712453160 in words is "two hundred fifty-six trillion, seven hundred forty-two billion, seven hundred twelve million, four hundred fifty-three thousand, one hundred sixty".