22304800800 has 432 divisors, whose sum is σ = 80465865480. Its totient is φ = 5812715520.

The previous prime is 22304800799. The next prime is 22304800801. The reversal of 22304800800 is 800840322.

It is an interprime number because it is at equal distance from previous prime (22304800799) and next prime (22304800801).

It can be written as a sum of positive squares in 12 ways, for example, as 7155129744 + 15149671056 = 84588^2 + 123084^2 .

It is not an unprimeable number, because it can be changed into a prime (22304800801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76125454 + ... + 76125746.

Almost surely, 2^22304800800 is an apocalyptic number.

22304800800 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 22304800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40232932740).

22304800800 is an abundant number, since it is smaller than the sum of its proper divisors (58161064680).

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

22304800800 is a wasteful number, since it uses less digits than its factorization.

22304800800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 22304800800 in words is "twenty-two billion, three hundred four million, eight hundred thousand, eight hundred".