56628605880 has 768 divisors, whose sum is σ = 235192688640. Its totient is φ = 11477376000.

The previous prime is 56628605867. The next prime is 56628605881. The reversal of 56628605880 is 8850682665.

56628605880 is a `hidden beast` number, since 5 + 6 + 6 + 28 + 605 + 8 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56628605881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 347414679 + ... + 347414841.

It is an arithmetic number, because the mean of its divisors is an integer number (306240480).

Almost surely, 2^56628605880 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 56628605880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117596344320).

56628605880 is an abundant number, since it is smaller than the sum of its proper divisors (178564082760).

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

56628605880 is a wasteful number, since it uses less digits than its factorization.

56628605880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 56628605880 in words is "fifty-six billion, six hundred twenty-eight million, six hundred five thousand, eight hundred eighty".