56616280560 has 320 divisors, whose sum is σ = 234601651200. Its totient is φ = 12259703808.

The previous prime is 56616280481. The next prime is 56616280583. The reversal of 56616280560 is 6508261665.

It is a happy number.

56616280560 is a `hidden beast` number, since 5 + 6 + 6 + 1 + 6 + 2 + 80 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188742 + ... + 385818.

It is an arithmetic number, because the mean of its divisors is an integer number (733130160).

Almost surely, 2^56616280560 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 56616280560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117300825600).

56616280560 is an abundant number, since it is smaller than the sum of its proper divisors (177985370640).

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

56616280560 is a wasteful number, since it uses less digits than its factorization.

56616280560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197125 (or 197113 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 56616280560 in words is "fifty-six billion, six hundred sixteen million, two hundred eighty thousand, five hundred sixty".