256958661770496 has 1728 divisors, whose sum is σ = 961579134996480. Its totient is φ = 64304240394240.

The previous prime is 256958661770431. The next prime is 256958661770521. The reversal of 256958661770496 is 694077166859652.

256958661770496 is a `hidden beast` number, since 2 + 5 + 6 + 9 + 58 + 6 + 6 + 1 + 7 + 70 + 496 = 666.

256958661770496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent 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, 29396936686 + ... + 29396945426.

Almost surely, 2^{256958661770496} 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 256958661770496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480789567498240).

256958661770496 is an abundant number, since it is smaller than the sum of its proper divisors (704620473225984).

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

256958661770496 is a wasteful number, since it uses less digits than its factorization.

256958661770496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8952 (or 8935 counting only the distinct ones).

The product of its (nonzero) digits is 8230118400, while the sum is 81.

The spelling of 256958661770496 in words is "two hundred fifty-six trillion, nine hundred fifty-eight billion, six hundred sixty-one million, seven hundred seventy thousand, four hundred ninety-six".