56630096352 has 336 divisors, whose sum is σ = 171967915728. Its totient is φ = 18341406720.

The previous prime is 56630096339. The next prime is 56630096357. The reversal of 56630096352 is 25369003665.

56630096352 is a `hidden beast` number, since 5 + 6 + 6 + 3 + 0 + 0 + 9 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56630096298 and 56630096307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56630096357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 201530452 + ... + 201530732.

It is an arithmetic number, because the mean of its divisors is an integer number (511809273).

Almost surely, 2^56630096352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56630096352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85983957864).

56630096352 is an abundant number, since it is smaller than the sum of its proper divisors (115337819376).

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

56630096352 is a wasteful number, since it uses less digits than its factorization.

56630096352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 56630096352 in words is "fifty-six billion, six hundred thirty million, ninety-six thousand, three hundred fifty-two".