56316180690 has 1152 divisors, whose sum is σ = 212247060480. Its totient is φ = 10581580800.

The previous prime is 56316180607. The next prime is 56316180707. The reversal of 56316180690 is 9608161365.

56316180690 is a `hidden beast` number, since 5 + 631 + 6 + 1 + 8 + 0 + 6 + 9 + 0 = 666.

56316180690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56316180690² (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 an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 771454494 + ... + 771454566.

It is an arithmetic number, because the mean of its divisors is an integer number (184242240).

Almost surely, 2^56316180690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56316180690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106123530240).

56316180690 is an abundant number, since it is smaller than the sum of its proper divisors (155930879790).

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

56316180690 is a wasteful number, since it uses less digits than its factorization.

56316180690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 56316180690 in words is "fifty-six billion, three hundred sixteen million, one hundred eighty thousand, six hundred ninety".