256260711764000 has 192 divisors, whose sum is σ = 630108970283520. Its totient is φ = 102426765235200.

The previous prime is 256260711763897. The next prime is 256260711764047. The reversal of 256260711764000 is 467117062652.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53510273606 + ... + 53510278394.

It is an arithmetic number, because the mean of its divisors is an integer number (3281817553560).

Almost surely, 2^{256260711764000} is an apocalyptic number.

256260711764000 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 256260711764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315054485141760).

256260711764000 is an abundant number, since it is smaller than the sum of its proper divisors (373848258519520).

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

256260711764000 is a wasteful number, since it uses less digits than its factorization.

256260711764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12140 (or 12122 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The spelling of 256260711764000 in words is "two hundred fifty-six trillion, two hundred sixty billion, seven hundred eleven million, seven hundred sixty-four thousand".