56642096016 has 225 divisors, whose sum is σ = 180497366049. Its totient is φ = 17135712000.

The previous prime is 56642095999. The next prime is 56642096023. The reversal of 56642096016 is 61069024665.

The square root of 56642096016 is 237996.

It is a perfect power (a square), and thus also a powerful number.

56642096016 is a `hidden beast` number, since 566 + 4 + 20 + 9 + 60 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47609494416 + 9032601600 = 218196^2 + 95040^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 94246116 + ... + 94246716.

Almost surely, 2^56642096016 is an apocalyptic number.

56642096016 is the 237996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56642096016

56642096016 is an abundant number, since it is smaller than the sum of its proper divisors (123855270033).

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

56642096016 is an equidigital number, since it uses as much as digits as its factorization.

56642096016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 56642096016 in words is "fifty-six billion, six hundred forty-two million, ninety-six thousand, sixteen".