22409809920 has 728 divisors, whose sum is σ = 85946524800. Its totient is φ = 5589762048.

The previous prime is 22409809907. The next prime is 22409809969. The reversal of 22409809920 is 2990890422.

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 55 ways as a sum of consecutive naturals, for example, 283668441 + ... + 283668519.

Almost surely, 2^22409809920 is an apocalyptic number.

22409809920 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 22409809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42973262400).

22409809920 is an abundant number, since it is smaller than the sum of its proper divisors (63536714880).

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

22409809920 is an frugal number, since it uses more digits than its factorization.

22409809920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 22409809920 in words is "twenty-two billion, four hundred nine million, eight hundred nine thousand, nine hundred twenty".