10879112160 has 384 divisors, whose sum is σ = 43734297600. Its totient is φ = 2474219520.

The previous prime is 10879112147. The next prime is 10879112173. The reversal of 10879112160 is 6121197801.

It is an interprime number because it is at equal distance from previous prime (10879112147) and next prime (10879112173).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6924175 + ... + 6925745.

It is an arithmetic number, because the mean of its divisors is an integer number (113891400).

Almost surely, 2^10879112160 is an apocalyptic number.

10879112160 is a gapful number since it is divisible by the number (10) 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 10879112160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21867148800).

10879112160 is an abundant number, since it is smaller than the sum of its proper divisors (32855185440).

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

10879112160 is a wasteful number, since it uses less digits than its factorization.

10879112160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 10879112160 in words is "ten billion, eight hundred seventy-nine million, one hundred twelve thousand, one hundred sixty".