56655661161660 has 192 divisors, whose sum is σ = 175464408591360. Its totient is φ = 13543743006720.

The previous prime is 56655661161607. The next prime is 56655661161683. The reversal of 56655661161660 is 6616116655665.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 56655661161594 and 56655661161603.

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, 236395849 + ... + 236635391.

It is an arithmetic number, because the mean of its divisors is an integer number (913877128080).

Almost surely, 2^{56655661161660} 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 56655661161660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87732204295680).

56655661161660 is an abundant number, since it is smaller than the sum of its proper divisors (118808747429700).

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

56655661161660 is a wasteful number, since it uses less digits than its factorization.

56655661161660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244548 (or 244546 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 60.

The spelling of 56655661161660 in words is "fifty-six trillion, six hundred fifty-five billion, six hundred sixty-one million, one hundred sixty-one thousand, six hundred sixty".