10879168320 has 168 divisors, whose sum is σ = 38806002144. Its totient is φ = 2901090816.

The previous prime is 10879168301. The next prime is 10879168327. The reversal of 10879168320 is 2386197801.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10879168327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7807 + ... + 147713.

It is an arithmetic number, because the mean of its divisors is an integer number (230988108).

Almost surely, 2^10879168320 is an apocalyptic number.

10879168320 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 10879168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19403001072).

10879168320 is an abundant number, since it is smaller than the sum of its proper divisors (27926833824).

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

10879168320 is an equidigital number, since it uses as much as digits as its factorization.

10879168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139939 (or 139917 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10879168320 in words is "ten billion, eight hundred seventy-nine million, one hundred sixty-eight thousand, three hundred twenty".