10999131920 has 480 divisors, whose sum is σ = 33804384000. Its totient is φ = 3316432896.

The previous prime is 10999131911. The next prime is 10999131959. The reversal of 10999131920 is 2913199901.

10999131920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 150673004 + ... + 150673076.

It is an arithmetic number, because the mean of its divisors is an integer number (70425800).

Almost surely, 2^10999131920 is an apocalyptic number.

10999131920 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 10999131920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16902192000).

10999131920 is an abundant number, since it is smaller than the sum of its proper divisors (22805252080).

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

10999131920 is a wasteful number, since it uses less digits than its factorization.

10999131920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 44.

The spelling of 10999131920 in words is "ten billion, nine hundred ninety-nine million, one hundred thirty-one thousand, nine hundred twenty".