56008764000 has 432 divisors, whose sum is σ = 231235464096. Its totient is φ = 12801600000.

The previous prime is 56008763989. The next prime is 56008764037. The reversal of 56008764000 is 46780065.

It is a happy number.

56008764000 is a `hidden beast` number, since 5 + 6 + 0 + 0 + 8 + 7 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1748125 + ... + 1779875.

It is an arithmetic number, because the mean of its divisors is an integer number (535267278).

Almost surely, 2^56008764000 is an apocalyptic number.

56008764000 is a gapful number since it is divisible by the number (50) 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 56008764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115617732048).

56008764000 is an abundant number, since it is smaller than the sum of its proper divisors (175226700096).

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

56008764000 is a wasteful number, since it uses less digits than its factorization.

56008764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31796 (or 31768 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 56008764000 in words is "fifty-six billion, eight million, seven hundred sixty-four thousand".