56668360320 has 2048 divisors, whose sum is σ = 266499072000. Its totient is φ = 11147673600.

The previous prime is 56668360291. The next prime is 56668360363. The reversal of 56668360320 is 2306386665.

It is a super-2 number, since 2×56668360320² (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 255 ways as a sum of consecutive naturals, for example, 798145885 + ... + 798145955.

It is an arithmetic number, because the mean of its divisors is an integer number (130126500).

Almost surely, 2^56668360320 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 56668360320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133249536000).

56668360320 is an abundant number, since it is smaller than the sum of its proper divisors (209830711680).

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

56668360320 is a wasteful number, since it uses less digits than its factorization.

56668360320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 56668360320 in words is "fifty-six billion, six hundred sixty-eight million, three hundred sixty thousand, three hundred twenty".