56715264000 has 720 divisors, whose sum is σ = 217695035376. Its totient is φ = 14155776000.

The previous prime is 56715263963. The next prime is 56715264019. The reversal of 56715264000 is 46251765.

It is a happy number.

56715264000 is a `hidden beast` number, since 5 + 6 + 7 + 1 + 5 + 2 + 640 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 29068886016 + 27646377984 = 170496^2 + 166272^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313343910 + ... + 313344090.

Almost surely, 2^56715264000 is an apocalyptic number.

56715264000 is a gapful number since it is divisible by the number (50) 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 56715264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108847517688).

56715264000 is an abundant number, since it is smaller than the sum of its proper divisors (160979771376).

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

56715264000 is a wasteful number, since it uses less digits than its factorization.

56715264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 56715264000 in words is "fifty-six billion, seven hundred fifteen million, two hundred sixty-four thousand".