256795333872 has 320 divisors, whose sum is σ = 879610368000. Its totient is φ = 62536458240.

The previous prime is 256795333813. The next prime is 256795333979. The reversal of 256795333872 is 278333597652.

It is a congruent number.

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, 6792879 + ... + 6830577.

It is an arithmetic number, because the mean of its divisors is an integer number (2748782400).

Almost surely, 2^256795333872 is an apocalyptic number.

256795333872 is a gapful number since it is divisible by the number (22) 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 256795333872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439805184000).

256795333872 is an abundant number, since it is smaller than the sum of its proper divisors (622815034128).

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

256795333872 is a wasteful number, since it uses less digits than its factorization.

256795333872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37844 (or 37838 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 60.

The spelling of 256795333872 in words is "two hundred fifty-six billion, seven hundred ninety-five million, three hundred thirty-three thousand, eight hundred seventy-two".