56461605072660 has 144 divisors (see below), whose sum is σ = 172530932058576. Its totient is φ = 14945319346176.

The previous prime is 56461605072629. The next prime is 56461605072707. The reversal of 56461605072660 is 6627050616465.

56461605072660 is a `hidden beast` number, since 5 + 6 + 4 + 6 + 1 + 605 + 0 + 7 + 26 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 719762198544 + 55741842874116 = 848388^2 + 7466046^2 .

It is a junction number, because it is equal to n+sod(n) for n = 56461605072597 and 56461605072606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328804584 + ... + 328976256.

It is an arithmetic number, because the mean of its divisors is an integer number (1198131472629).

Almost surely, 2^{56461605072660} 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 56461605072660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86265466029288).

56461605072660 is an abundant number, since it is smaller than the sum of its proper divisors (116069326985916).

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

56461605072660 is a wasteful number, since it uses less digits than its factorization.

56461605072660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185162 (or 185157 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 56461605072660 in words is "fifty-six trillion, four hundred sixty-one billion, six hundred five million, seventy-two thousand, six hundred sixty".