256319406362880 has 1296 divisors, whose sum is σ = 1049896744893360. Its totient is φ = 57558262874112.

The previous prime is 256319406362869. The next prime is 256319406362923. The reversal of 256319406362880 is 88263604913652.

256319406362880 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 194 + 0 + 6 + 362 + 8 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7239801913344 + 249079604449536 = 2690688^2 + 15782256^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7887462792 + ... + 7887495288.

It is an arithmetic number, because the mean of its divisors is an integer number (810105513035).

Almost surely, 2^{256319406362880} is an apocalyptic number.

256319406362880 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 256319406362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524948372446680).

256319406362880 is an abundant number, since it is smaller than the sum of its proper divisors (793577338530480).

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

256319406362880 is a wasteful number, since it uses less digits than its factorization.

256319406362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32784 (or 32760 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 256319406362880 in words is "two hundred fifty-six trillion, three hundred nineteen billion, four hundred six million, three hundred sixty-two thousand, eight hundred eighty".