22509321985920 has 896 divisors, whose sum is σ = 91326195964800. Its totient is φ = 4676745400320.

The previous prime is 22509321985919. The next prime is 22509321985933. The reversal of 22509321985920 is 2958912390522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2484742351 + ... + 2484751409.

Almost surely, 2^{22509321985920} is an apocalyptic number.

22509321985920 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 22509321985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45663097982400).

22509321985920 is an abundant number, since it is smaller than the sum of its proper divisors (68816873978880).

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

22509321985920 is an frugal number, since it uses more digits than its factorization.

22509321985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9134 (or 9087 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 57.

The spelling of 22509321985920 in words is "twenty-two trillion, five hundred nine billion, three hundred twenty-one million, nine hundred eighty-five thousand, nine hundred twenty".