22055716800 has 1260 divisors, whose sum is σ = 94151150280. Its totient is φ = 5046312960.

The previous prime is 22055716799. The next prime is 22055716883. The reversal of 22055716800 is 861755022.

It is a happy number.

22055716800 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 571 + 6 + 80 + 0 = 666.

It is a super-3 number, since 3×22055716800³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 416145574 + ... + 416145626.

Almost surely, 2^22055716800 is an apocalyptic number.

22055716800 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 22055716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47075575140).

22055716800 is an abundant number, since it is smaller than the sum of its proper divisors (72095433480).

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

22055716800 is a wasteful number, since it uses less digits than its factorization.

22055716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 22055716800 in words is "twenty-two billion, fifty-five million, seven hundred sixteen thousand, eight hundred".