22909605120 has 216 divisors, whose sum is σ = 81823053312. Its totient is φ = 5912064000.

The previous prime is 22909605071. The next prime is 22909605143. The reversal of 22909605120 is 2150690922.

It is a happy number.

22909605120 is a `hidden beast` number, since 2 + 29 + 0 + 9 + 605 + 1 + 20 = 666.

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 23 ways as a sum of consecutive naturals, for example, 325045 + ... + 389195.

It is an arithmetic number, because the mean of its divisors is an integer number (378810432).

Almost surely, 2^22909605120 is an apocalyptic number.

22909605120 is a gapful number since it is divisible by the number (20) 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 22909605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40911526656).

22909605120 is an abundant number, since it is smaller than the sum of its proper divisors (58913448192).

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

22909605120 is a wasteful number, since it uses less digits than its factorization.

22909605120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64209 (or 64192 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 22909605120 in words is "twenty-two billion, nine hundred nine million, six hundred five thousand, one hundred twenty".