22089628800 has 192 divisors, whose sum is σ = 80842221600. Its totient is φ = 5890544640.

The previous prime is 22089628783. The next prime is 22089628807. The reversal of 22089628800 is 882698022.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (22089628807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41434 + ... + 214233.

Almost surely, 2^22089628800 is an apocalyptic number.

22089628800 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 22089628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40421110800).

22089628800 is an abundant number, since it is smaller than the sum of its proper divisors (58752592800).

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

22089628800 is a wasteful number, since it uses less digits than its factorization.

22089628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255700 (or 255677 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 22089628800 in words is "twenty-two billion, eighty-nine million, six hundred twenty-eight thousand, eight hundred".