56600350560 has 480 divisors, whose sum is σ = 222077382912. Its totient is φ = 13481717760.

The previous prime is 56600350549. The next prime is 56600350567. The reversal of 56600350560 is 6505300665.

It is a happy number.

56600350560 is a `hidden beast` number, since 5 + 6 + 60 + 0 + 35 + 0 + 560 = 666.

56600350560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56600350567) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5217462 + ... + 5228298.

Almost surely, 2^56600350560 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 56600350560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111038691456).

56600350560 is an abundant number, since it is smaller than the sum of its proper divisors (165477032352).

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

56600350560 is a wasteful number, since it uses less digits than its factorization.

56600350560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10908 (or 10891 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 56600350560 in words is "fifty-six billion, six hundred million, three hundred fifty thousand, five hundred sixty".