256252517392704 has 672 divisors, whose sum is σ = 858119908953600. Its totient is φ = 67067992535040.

The previous prime is 256252517392667. The next prime is 256252517392717. The reversal of 256252517392704 is 407293715252652.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 643129287 + ... + 643527609.

Almost surely, 2^{256252517392704} is an apocalyptic number.

256252517392704 is a gapful number since it is divisible by the number (24) 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 256252517392704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429059954476800).

256252517392704 is an abundant number, since it is smaller than the sum of its proper divisors (601867391560896).

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

256252517392704 is a wasteful number, since it uses less digits than its factorization.

256252517392704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398491 (or 398474 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 60.

The spelling of 256252517392704 in words is "two hundred fifty-six trillion, two hundred fifty-two billion, five hundred seventeen million, three hundred ninety-two thousand, seven hundred four".