10556706976128 has 128 divisors (see below), whose sum is σ = 31182435993600. Its totient is φ = 3516023646720.

The previous prime is 10556706976063. The next prime is 10556706976133. The reversal of 10556706976128 is 82167960765501.

10556706976128 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 6 + 7 + 0 + 6 + 9 + 7 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10556706976128² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2977873 + ... + 5475503.

It is an arithmetic number, because the mean of its divisors is an integer number (243612781200).

Almost surely, 2^{10556706976128} is an apocalyptic number.

10556706976128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10556706976128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15591217996800).

10556706976128 is an abundant number, since it is smaller than the sum of its proper divisors (20625729017472).

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

10556706976128 is a wasteful number, since it uses less digits than its factorization.

10556706976128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498877 (or 2498859 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 10556706976128 in words is "ten trillion, five hundred fifty-six billion, seven hundred six million, nine hundred seventy-six thousand, one hundred twenty-eight".