22753216000 has 80 divisors (see below), whose sum is σ = 56736725760. Its totient is φ = 9101260800.

The previous prime is 22753215997. The next prime is 22753216021. The reversal of 22753216000 is 61235722.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 22753216000.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 113760 + ... + 241759.

It is an arithmetic number, because the mean of its divisors is an integer number (709209072).

Almost surely, 2^22753216000 is an apocalyptic number.

22753216000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22753216000 is an abundant number, since it is smaller than the sum of its proper divisors (33983509760).

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

22753216000 is an frugal number, since it uses more digits than its factorization.

22753216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355552 (or 355526 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 22753216000 in words is "twenty-two billion, seven hundred fifty-three million, two hundred sixteen thousand".