56655661160160 has 288 divisors, whose sum is σ = 195598292460480. Its totient is φ = 14932081188864.

The previous prime is 56655661160141. The next prime is 56655661160177. The reversal of 56655661160160 is 6106116655665.

56655661160160 is a `hidden beast` number, since 5 + 6 + 6 + 5 + 5 + 6 + 611 + 6 + 0 + 16 + 0 = 666.

56655661160160 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 (288).

It is a junction number, because it is equal to n+sod(n) for n = 56655661160097 and 56655661160106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75119652 + ... + 75870108.

It is an arithmetic number, because the mean of its divisors is an integer number (679160737710).

Almost surely, 2^{56655661160160} 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 56655661160160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97799146230240).

56655661160160 is an abundant number, since it is smaller than the sum of its proper divisors (138942631300320).

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

56655661160160 is a wasteful number, since it uses less digits than its factorization.

56655661160160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751090 (or 751079 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 56655661160160 in words is "fifty-six trillion, six hundred fifty-five billion, six hundred sixty-one million, one hundred sixty thousand, one hundred sixty".