56622893760 has 672 divisors, whose sum is σ = 210606948864. Its totient is φ = 13934592000.

The previous prime is 56622893753. The next prime is 56622893773. The reversal of 56622893760 is 6739822665.

56622893760 is a `hidden beast` number, since 5 + 6 + 622 + 8 + 9 + 3 + 7 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56622893697 and 56622893706.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 201504820 + ... + 201505100.

Almost surely, 2^56622893760 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 56622893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105303474432).

56622893760 is an abundant number, since it is smaller than the sum of its proper divisors (153984055104).

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

56622893760 is a wasteful number, since it uses less digits than its factorization.

56622893760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 56622893760 in words is "fifty-six billion, six hundred twenty-two million, eight hundred ninety-three thousand, seven hundred sixty".