10566975912 has 64 divisors (see below), whose sum is σ = 27193682880. Its totient is φ = 3420198912.

The previous prime is 10566975911. The next prime is 10566975959. The reversal of 10566975912 is 21957966501.

10566975912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10566975912² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10566975911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80563 + ... + 166205.

It is an arithmetic number, because the mean of its divisors is an integer number (424901295).

Almost surely, 2^10566975912 is an apocalyptic number.

10566975912 is a gapful number since it is divisible by the number (12) 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 10566975912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13596841440).

10566975912 is an abundant number, since it is smaller than the sum of its proper divisors (16626706968).

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

10566975912 is a wasteful number, since it uses less digits than its factorization.

10566975912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85802 (or 85798 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 51.

The spelling of 10566975912 in words is "ten billion, five hundred sixty-six million, nine hundred seventy-five thousand, nine hundred twelve".