22265845920 has 192 divisors, whose sum is σ = 78703591680. Its totient is φ = 5878656000.

The previous prime is 22265845907. The next prime is 22265845949. The reversal of 22265845920 is 2954856222.

It is a happy number.

22265845920 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 58 + 4 + 592 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 410805 + ... + 461835.

It is an arithmetic number, because the mean of its divisors is an integer number (409914540).

Almost surely, 2^22265845920 is an apocalyptic number.

22265845920 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 22265845920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39351795840).

22265845920 is an abundant number, since it is smaller than the sum of its proper divisors (56437745760).

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

22265845920 is a wasteful number, since it uses less digits than its factorization.

22265845920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51156 (or 51142 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 22265845920 in words is "twenty-two billion, two hundred sixty-five million, eight hundred forty-five thousand, nine hundred twenty".