22252588800 has 216 divisors, whose sum is σ = 79088156784. Its totient is φ = 5477498880.

The previous prime is 22252588769. The next prime is 22252588811. The reversal of 22252588800 is 888525222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205024 + ... + 294176.

It is an arithmetic number, because the mean of its divisors is an integer number (366148874).

Almost surely, 2^22252588800 is an apocalyptic number.

22252588800 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 22252588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39544078392).

22252588800 is an abundant number, since it is smaller than the sum of its proper divisors (56835567984).

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

22252588800 is a wasteful number, since it uses less digits than its factorization.

22252588800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89195 (or 89176 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 42.

The spelling of 22252588800 in words is "twenty-two billion, two hundred fifty-two million, five hundred eighty-eight thousand, eight hundred".