56997577728 has 1056 divisors, whose sum is σ = 220551968000. Its totient is φ = 14046068736.

The previous prime is 56997577711. The next prime is 56997577729. The reversal of 56997577728 is 82777579965.

56997577728 is a `hidden beast` number, since 569 + 9 + 7 + 57 + 7 + 7 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (56997577729) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 780788700 + ... + 780788772.

Almost surely, 2^56997577728 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 56997577728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110275984000).

56997577728 is an abundant number, since it is smaller than the sum of its proper divisors (163554390272).

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

56997577728 is a wasteful number, since it uses less digits than its factorization.

56997577728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 117 counting only the distinct ones).

The product of its digits is 466754400, while the sum is 72.

The spelling of 56997577728 in words is "fifty-six billion, nine hundred ninety-seven million, five hundred seventy-seven thousand, seven hundred twenty-eight".