56389072320 has 448 divisors, whose sum is σ = 228162063360. Its totient is φ = 12842717184.

The previous prime is 56389072303. The next prime is 56389072343. The reversal of 56389072320 is 2327098365.

56389072320 is a `hidden beast` number, since 5 + 638 + 9 + 0 + 7 + 2 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×56389072320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18565842 + ... + 18568878.

It is an arithmetic number, because the mean of its divisors is an integer number (509290320).

Almost surely, 2^56389072320 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 56389072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114081031680).

56389072320 is an abundant number, since it is smaller than the sum of its proper divisors (171772991040).

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

56389072320 is a wasteful number, since it uses less digits than its factorization.

56389072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 56389072320 in words is "fifty-six billion, three hundred eighty-nine million, seventy-two thousand, three hundred twenty".