10879711920 has 960 divisors, whose sum is σ = 48301194240. Its totient is φ = 2128896000.

The previous prime is 10879711903. The next prime is 10879711933. The reversal of 10879711920 is 2911797801.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 107719870 + ... + 107719970.

It is an arithmetic number, because the mean of its divisors is an integer number (50313744).

Almost surely, 2^10879711920 is an apocalyptic number.

10879711920 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 10879711920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24150597120).

10879711920 is an abundant number, since it is smaller than the sum of its proper divisors (37421482320).

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

10879711920 is a wasteful number, since it uses less digits than its factorization.

10879711920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 45.

The spelling of 10879711920 in words is "ten billion, eight hundred seventy-nine million, seven hundred eleven thousand, nine hundred twenty".