56517393816 has 256 divisors, whose sum is σ = 182117376000. Its totient is φ = 16096734720.

The previous prime is 56517393767. The next prime is 56517393859. The reversal of 56517393816 is 61839371565.

56517393816 is a `hidden beast` number, since 56 + 517 + 39 + 38 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1987990 + ... + 2016218.

It is an arithmetic number, because the mean of its divisors is an integer number (711396000).

Almost surely, 2^56517393816 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 56517393816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91058688000).

56517393816 is an abundant number, since it is smaller than the sum of its proper divisors (125599982184).

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

56517393816 is a wasteful number, since it uses less digits than its factorization.

56517393816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28311 (or 28301 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 56517393816 in words is "fifty-six billion, five hundred seventeen million, three hundred ninety-three thousand, eight hundred sixteen".