256954178880 has 672 divisors, whose sum is σ = 1070712656640. Its totient is φ = 56824934400.

The previous prime is 256954178857. The next prime is 256954178891. The reversal of 256954178880 is 88871459652.

256954178880 is a `hidden beast` number, since 2 + 5 + 6 + 9 + 541 + 7 + 8 + 8 + 80 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58119070 + ... + 58123490.

Almost surely, 2^256954178880 is an apocalyptic number.

256954178880 is a gapful number since it is divisible by the number (20) 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 256954178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535356328320).

256954178880 is an abundant number, since it is smaller than the sum of its proper divisors (813758477760).

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

256954178880 is a wasteful number, since it uses less digits than its factorization.

256954178880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4516 (or 4469 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 256954178880 in words is "two hundred fifty-six billion, nine hundred fifty-four million, one hundred seventy-eight thousand, eight hundred eighty".