56716595712 has 640 divisors, whose sum is σ = 212129280000. Its totient is φ = 14578679808.

The previous prime is 56716595687. The next prime is 56716595737. The reversal of 56716595712 is 21759561765.

56716595712 is a `hidden beast` number, since 5 + 6 + 7 + 1 + 65 + 9 + 571 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (56716595687) and next prime (56716595737).

It is a super-3 number, since 3×56716595712³ (a number of 33 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37835539 + ... + 37837037.

It is an arithmetic number, because the mean of its divisors is an integer number (331452000).

Almost surely, 2^56716595712 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 56716595712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106064640000).

56716595712 is an abundant number, since it is smaller than the sum of its proper divisors (155412684288).

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

56716595712 is a wasteful number, since it uses less digits than its factorization.

56716595712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1551 counting only the distinct ones).

The product of its digits is 3969000, while the sum is 54.

The spelling of 56716595712 in words is "fifty-six billion, seven hundred sixteen million, five hundred ninety-five thousand, seven hundred twelve".