22083612800 has 216 divisors, whose sum is σ = 56868498855. Its totient is φ = 8473651200.

The previous prime is 22083612797. The next prime is 22083612821. The reversal of 22083612800 is 821638022.

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 5 ways, for example, as 17514934336 + 4568678464 = 132344^2 + 67592^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=105080.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 311036765 + ... + 311036835.

Almost surely, 2^22083612800 is an apocalyptic number.

22083612800 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 22083612800

22083612800 is an abundant number, since it is smaller than the sum of its proper divisors (34784886055).

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

22083612800 is an frugal number, since it uses more digits than its factorization.

22083612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Multiplying 22083612800 by its sum of digits (32), we get a square (706675609600 = 840640²).

22083612800 divided by its sum of digits (32) gives a square (690112900 = 26270²).

The spelling of 22083612800 in words is "twenty-two billion, eighty-three million, six hundred twelve thousand, eight hundred".