56584879273728 has 432 divisors, whose sum is σ = 183540342795264. Its totient is φ = 16635278499840.

The previous prime is 56584879273721. The next prime is 56584879273763. The reversal of 56584879273728 is 82737297848565.

56584879273728 is a `hidden beast` number, since 5 + 6 + 5 + 84 + 87 + 92 + 7 + 372 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56584879273721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 627539175 + ... + 627629337.

Almost surely, 2^{56584879273728} 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 56584879273728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91770171397632).

56584879273728 is an abundant number, since it is smaller than the sum of its proper divisors (126955463521536).

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

56584879273728 is a wasteful number, since it uses less digits than its factorization.

56584879273728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91132 (or 91115 counting only the distinct ones).

The product of its digits is 11379916800, while the sum is 81.

The spelling of 56584879273728 in words is "fifty-six trillion, five hundred eighty-four billion, eight hundred seventy-nine million, two hundred seventy-three thousand, seven hundred twenty-eight".