22131916800 has 720 divisors, whose sum is σ = 87373074432. Its totient is φ = 4836556800.

The previous prime is 22131916739. The next prime is 22131916841. The reversal of 22131916800 is 861913122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266649559 + ... + 266649641.

Almost surely, 2^22131916800 is an apocalyptic number.

22131916800 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 22131916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43686537216).

22131916800 is an abundant number, since it is smaller than the sum of its proper divisors (65241157632).

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

22131916800 is an equidigital number, since it uses as much as digits as its factorization.

22131916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 22131916800 in words is "twenty-two billion, one hundred thirty-one million, nine hundred sixteen thousand, eight hundred".