56380500938664 has 480 divisors, whose sum is σ = 191776529767680. Its totient is φ = 15401142054144.

The previous prime is 56380500938659. The next prime is 56380500938701. The reversal of 56380500938664 is 46683900508365.

56380500938664 is a `hidden beast` number, since 5 + 6 + 38 + 0 + 500 + 9 + 38 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1670170074 + ... + 1670203830.

It is an arithmetic number, because the mean of its divisors is an integer number (399534437016).

Almost surely, 2^{56380500938664} is an apocalyptic number.

56380500938664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56380500938664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95888264883840).

56380500938664 is an abundant number, since it is smaller than the sum of its proper divisors (135396028829016).

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

56380500938664 is a wasteful number, since it uses less digits than its factorization.

56380500938664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36099 (or 36079 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 56380500938664 in words is "fifty-six trillion, three hundred eighty billion, five hundred million, nine hundred thirty-eight thousand, six hundred sixty-four".