56713977216 has 288 divisors, whose sum is σ = 182439990720. Its totient is φ = 16885739520.

The previous prime is 56713977193. The next prime is 56713977239. The reversal of 56713977216 is 61277931765.

56713977216 = 303² + 304² + ... + 5541².

56713977216 is a `hidden beast` number, since 567 + 1 + 3 + 9 + 7 + 72 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (56713977193) and next prime (56713977239).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×56713977216² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6030630 + ... + 6040026.

It is an arithmetic number, because the mean of its divisors is an integer number (633472190).

Almost surely, 2^56713977216 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 56713977216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91219995360).

56713977216 is an abundant number, since it is smaller than the sum of its proper divisors (125726013504).

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

56713977216 is a wasteful number, since it uses less digits than its factorization.

56713977216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9474 (or 9446 counting only the distinct ones).

The product of its digits is 3333960, while the sum is 54.

The spelling of 56713977216 in words is "fifty-six billion, seven hundred thirteen million, nine hundred seventy-seven thousand, two hundred sixteen".