56086358160 has 320 divisors, whose sum is σ = 208603791360. Its totient is φ = 12195256320.

The previous prime is 56086358123. The next prime is 56086358161. The reversal of 56086358160 is 6185368065.

It is a super-3 number, since 3×56086358160³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (56086358161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3063594 + ... + 3081846.

It is an arithmetic number, because the mean of its divisors is an integer number (651886848).

Almost surely, 2^56086358160 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 56086358160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104301895680).

56086358160 is an abundant number, since it is smaller than the sum of its proper divisors (152517433200).

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

56086358160 is a wasteful number, since it uses less digits than its factorization.

56086358160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18366 (or 18360 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 56086358160 in words is "fifty-six billion, eighty-six million, three hundred fifty-eight thousand, one hundred sixty".