10879100832 has 288 divisors, whose sum is σ = 31605940800. Its totient is φ = 3271561216.

The previous prime is 10879100831. The next prime is 10879100839. The reversal of 10879100832 is 23800197801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10879100831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122237044 + ... + 122237132.

It is an arithmetic number, because the mean of its divisors is an integer number (109742850).

Almost surely, 2^10879100832 is an apocalyptic number.

10879100832 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 10879100832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15802970400).

10879100832 is an abundant number, since it is smaller than the sum of its proper divisors (20726839968).

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

10879100832 is a wasteful number, since it uses less digits than its factorization.

10879100832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 10879100832 in words is "ten billion, eight hundred seventy-nine million, one hundred thousand, eight hundred thirty-two".