22768173820200 has 96 divisors (see below), whose sum is σ = 70588551195360. Its totient is φ = 6070892601600.

The previous prime is 22768173820193. The next prime is 22768173820213. The reversal of 22768173820200 is 202837186722.

It is a self number, because there is not a number n which added to its sum of digits gives 22768173820200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3952702 + ... + 7820498.

It is an arithmetic number, because the mean of its divisors is an integer number (735297408285).

Almost surely, 2^{22768173820200} is an apocalyptic number.

22768173820200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22768173820200 is an abundant number, since it is smaller than the sum of its proper divisors (47820377375160).

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

22768173820200 is a wasteful number, since it uses less digits than its factorization.

22768173820200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3877627 (or 3877618 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 22768173820200 in words is "twenty-two trillion, seven hundred sixty-eight billion, one hundred seventy-three million, eight hundred twenty thousand, two hundred".