256521702800472 has 128 divisors (see below), whose sum is σ = 669911358504960. Its totient is φ = 81701020114560.

The previous prime is 256521702800443. The next prime is 256521702800479. The reversal of 256521702800472 is 274008207125652.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256521702800479) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6560134473 + ... + 6560173575.

It is an arithmetic number, because the mean of its divisors is an integer number (5233682488320).

Almost surely, 2^{256521702800472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256521702800472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334955679252480).

256521702800472 is an abundant number, since it is smaller than the sum of its proper divisors (413389655704488).

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

256521702800472 is a wasteful number, since it uses less digits than its factorization.

256521702800472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51693 (or 51689 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 51.

The spelling of 256521702800472 in words is "two hundred fifty-six trillion, five hundred twenty-one billion, seven hundred two million, eight hundred thousand, four hundred seventy-two".