56101166615610 has 96 divisors (see below), whose sum is σ = 146860374435840. Its totient is φ = 14858275129344.

The previous prime is 56101166615591. The next prime is 56101166615621. The reversal of 56101166615610 is 1651666110165.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7883151 + ... + 13204029.

It is an arithmetic number, because the mean of its divisors is an integer number (1529795567040).

Almost surely, 2^{56101166615610} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56101166615610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73430187217920).

56101166615610 is an abundant number, since it is smaller than the sum of its proper divisors (90759207820230).

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

56101166615610 is a wasteful number, since it uses less digits than its factorization.

56101166615610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5321692 (or 5321689 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 56101166615610 in words is "fifty-six trillion, one hundred one billion, one hundred sixty-six million, six hundred fifteen thousand, six hundred ten".