256905954744192 has 480 divisors, whose sum is σ = 871456210119000. Its totient is φ = 74887556050944.

The previous prime is 256905954744137. The next prime is 256905954744203. The reversal of 256905954744192 is 291447459509652.

256905954744192 is a `hidden beast` number, since 2 + 5 + 6 + 9 + 0 + 5 + 95 + 4 + 7 + 441 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 256905954744192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29433234 + ... + 37150062.

Almost surely, 2^{256905954744192} 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 256905954744192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435728105059500).

256905954744192 is an abundant number, since it is smaller than the sum of its proper divisors (614550255374808).

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

256905954744192 is a wasteful number, since it uses less digits than its factorization.

256905954744192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7716900 (or 7716866 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 72.

The spelling of 256905954744192 in words is "two hundred fifty-six trillion, nine hundred five billion, nine hundred fifty-four million, seven hundred forty-four thousand, one hundred ninety-two".