56616356160 has 1344 divisors, whose sum is σ = 255294627840. Its totient is φ = 11851370496.

The previous prime is 56616356143. The next prime is 56616356171. The reversal of 56616356160 is 6165361665.

56616356160 is a `hidden beast` number, since 5 + 6 + 6 + 1 + 635 + 6 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 445798017 + ... + 445798143.

It is an arithmetic number, because the mean of its divisors is an integer number (189951360).

Almost surely, 2^56616356160 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 56616356160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127647313920).

56616356160 is an abundant number, since it is smaller than the sum of its proper divisors (198678271680).

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

56616356160 is a wasteful number, since it uses less digits than its factorization.

56616356160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 56616356160 in words is "fifty-six billion, six hundred sixteen million, three hundred fifty-six thousand, one hundred sixty".