56313017064 has 192 divisors, whose sum is σ = 159020072640. Its totient is φ = 17989171200.

The previous prime is 56313017051. The next prime is 56313017069. The reversal of 56313017064 is 46071031365.

56313017064 is a `hidden beast` number, since 5 + 631 + 3 + 0 + 17 + 0 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (56313017069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83179894 + ... + 83180570.

It is an arithmetic number, because the mean of its divisors is an integer number (828229545).

Almost surely, 2^56313017064 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 56313017064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79510036320).

56313017064 is an abundant number, since it is smaller than the sum of its proper divisors (102707055576).

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

56313017064 is a wasteful number, since it uses less digits than its factorization.

56313017064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

It can be divided in two parts, 5631301 and 7064, that added together give a palindrome (5638365).

The spelling of 56313017064 in words is "fifty-six billion, three hundred thirteen million, seventeen thousand, sixty-four".