22116556800 has 756 divisors, whose sum is σ = 86992550424. Its totient is φ = 5367398400.

The previous prime is 22116556771. The next prime is 22116556801. The reversal of 22116556800 is 865561122.

22116556800 is a `hidden beast` number, since 2 + 21 + 1 + 6 + 556 + 80 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22116556801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 311500765 + ... + 311500835.

Almost surely, 2^22116556800 is an apocalyptic number.

22116556800 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 22116556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43496275212).

22116556800 is an abundant number, since it is smaller than the sum of its proper divisors (64875993624).

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

22116556800 is a wasteful number, since it uses less digits than its factorization.

22116556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 22116556800 in words is "twenty-two billion, one hundred sixteen million, five hundred fifty-six thousand, eight hundred".