56086344720 has 480 divisors, whose sum is σ = 231238176000. Its totient is φ = 12143996928.

The previous prime is 56086344709. The next prime is 56086344731. The reversal of 56086344720 is 2744368065.

56086344720 is a `hidden beast` number, since 5 + 6 + 0 + 8 + 634 + 4 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56086344709) and next prime (56086344731).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4686264 + ... + 4698216.

It is an arithmetic number, because the mean of its divisors is an integer number (481746200).

Almost surely, 2^56086344720 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 56086344720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115619088000).

56086344720 is an abundant number, since it is smaller than the sum of its proper divisors (175151831280).

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

56086344720 is a wasteful number, since it uses less digits than its factorization.

56086344720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12012 (or 11989 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 56086344720 in words is "fifty-six billion, eighty-six million, three hundred forty-four thousand, seven hundred twenty".