56606808960 has 512 divisors, whose sum is σ = 219614976000. Its totient is φ = 13694607360.

The previous prime is 56606808959. The next prime is 56606808967. The reversal of 56606808960 is 6980860665.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 56606808897 and 56606808906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56606808967) 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, 13251625 + ... + 13255895.

It is an arithmetic number, because the mean of its divisors is an integer number (428935500).

Almost surely, 2^56606808960 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 56606808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109807488000).

56606808960 is an abundant number, since it is smaller than the sum of its proper divisors (163008167040).

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

56606808960 is a wasteful number, since it uses less digits than its factorization.

56606808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4371 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 56606808960 in words is "fifty-six billion, six hundred six million, eight hundred eight thousand, nine hundred sixty".