56742985728 has 900 divisors, whose sum is σ = 208961188128. Its totient is φ = 15182069760.

The previous prime is 56742985723. The next prime is 56742985729. The reversal of 56742985728 is 82758924765.

56742985728 is a `hidden beast` number, since 5 + 67 + 429 + 85 + 72 + 8 = 666.

Its product of digits (67737600) is a multiple of the sum of its prime factors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56742985721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2467086325 + ... + 2467086347.

Almost surely, 2^56742985728 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 56742985728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104480594064).

56742985728 is an abundant number, since it is smaller than the sum of its proper divisors (152218202400).

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

56742985728 is a wasteful number, since it uses less digits than its factorization.

56742985728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 52 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 56742985728 in words is "fifty-six billion, seven hundred forty-two million, nine hundred eighty-five thousand, seven hundred twenty-eight".