256347057600 has 252 divisors, whose sum is σ = 959072570040. Its totient is φ = 64761292800.

The previous prime is 256347057563. The next prime is 256347057601. The reversal of 256347057600 is 6750743652.

256347057600 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 4 + 70 + 576 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256347057601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 194871 + ... + 742070.

Almost surely, 2^256347057600 is an apocalyptic number.

256347057600 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 256347057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479536285020).

256347057600 is an abundant number, since it is smaller than the sum of its proper divisors (702725512440).

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

256347057600 is a wasteful number, since it uses less digits than its factorization.

256347057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936988 (or 936970 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 256347057600 in words is "two hundred fifty-six billion, three hundred forty-seven million, fifty-seven thousand, six hundred".