22057795200 has 384 divisors, whose sum is σ = 84408704640. Its totient is φ = 4958208000.

The previous prime is 22057795187. The next prime is 22057795213. The reversal of 22057795200 is 259775022.

It is an interprime number because it is at equal distance from previous prime (22057795187) and next prime (22057795213).

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4096510 + ... + 4101890.

It is an arithmetic number, because the mean of its divisors is an integer number (219814335).

Almost surely, 2^22057795200 is an apocalyptic number.

22057795200 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 22057795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42204352320).

22057795200 is an abundant number, since it is smaller than the sum of its proper divisors (62350909440).

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

22057795200 is a wasteful number, since it uses less digits than its factorization.

22057795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5476 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The spelling of 22057795200 in words is "twenty-two billion, fifty-seven million, seven hundred ninety-five thousand, two hundred".