22800519968 has 18 divisors (see below), whose sum is σ = 44890205409. Its totient is φ = 11399832896.

The previous prime is 22800519947. The next prime is 22800519977. The reversal of 22800519968 is 86991500822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 12385909264 + 10414610704 = 111292^2 + 102052^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=106772.

It is a super-2 number, since 2×22800519968² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 840830 + ... + 867522.

Almost surely, 2^22800519968 is an apocalyptic number.

It is an amenable number.

22800519968 is a deficient number, since it is larger than the sum of its proper divisors (22089685441).

22800519968 is an frugal number, since it uses more digits than its factorization.

22800519968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53396 (or 26695 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 50.

Multiplying 22800519968 by its sum of digits (50), we get a square (1140025998400 = 1067720²).

The spelling of 22800519968 in words is "twenty-two billion, eight hundred million, five hundred nineteen thousand, nine hundred sixty-eight".