256631745160160 has 96 divisors (see below), whose sum is σ = 608501029534272. Its totient is φ = 102278790881280.

The previous prime is 256631745160159. The next prime is 256631745160187. The reversal of 256631745160160 is 61061547136652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1721004005 + ... + 1721153115.

It is an arithmetic number, because the mean of its divisors is an integer number (6338552390982).

Almost surely, 2^{256631745160160} is an apocalyptic number.

256631745160160 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 256631745160160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304250514767136).

256631745160160 is an abundant number, since it is smaller than the sum of its proper divisors (351869284374112).

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

256631745160160 is a wasteful number, since it uses less digits than its factorization.

256631745160160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188236 (or 188228 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 53.

The spelling of 256631745160160 in words is "two hundred fifty-six trillion, six hundred thirty-one billion, seven hundred forty-five million, one hundred sixty thousand, one hundred sixty".