256891789593600 has 2112 divisors, whose sum is σ = 1080634542391296. Its totient is φ = 52439647518720.

The previous prime is 256891789593587. The next prime is 256891789593619. The reversal of 256891789593600 is 6395987198652.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26695598389 + ... + 26695608011.

Almost surely, 2^{256891789593600} is an apocalyptic number.

256891789593600 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 256891789593600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540317271195648).

256891789593600 is an abundant number, since it is smaller than the sum of its proper divisors (823742752797696).

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

256891789593600 is a wasteful number, since it uses less digits than its factorization.

256891789593600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9830 (or 9807 counting only the distinct ones).

The product of its (nonzero) digits is 1763596800, while the sum is 78.

The spelling of 256891789593600 in words is "two hundred fifty-six trillion, eight hundred ninety-one billion, seven hundred eighty-nine million, five hundred ninety-three thousand, six hundred".