256319078400 has 2160 divisors, whose sum is σ = 1222832983680. Its totient is φ = 52022476800.

The previous prime is 256319078321. The next prime is 256319078413. The reversal of 256319078400 is 4870913652.

256319078400 is a `hidden beast` number, since 2 + 5 + 631 + 9 + 0 + 7 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5960908779 + ... + 5960908821.

It is a 1-persistent number, because it is pandigital, but 2⋅256319078400 = 512638156800 is not.

Almost surely, 2^256319078400 is an apocalyptic number.

256319078400 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 256319078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611416491840).

256319078400 is an abundant number, since it is smaller than the sum of its proper divisors (966513905280).

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

256319078400 is a wasteful number, since it uses less digits than its factorization.

256319078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 256319078400 in words is "two hundred fifty-six billion, three hundred nineteen million, seventy-eight thousand, four hundred".