22153118400 has 1008 divisors, whose sum is σ = 97284844800. Its totient is φ = 4668088320.

The previous prime is 22153118389. The next prime is 22153118423. The reversal of 22153118400 is 481135122.

22153118400 is a `hidden beast` number, since 2 + 215 + 31 + 18 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 82353466 + ... + 82353734.

Almost surely, 2^22153118400 is an apocalyptic number.

22153118400 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 22153118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48642422400).

22153118400 is an abundant number, since it is smaller than the sum of its proper divisors (75131726400).

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

22153118400 is a wasteful number, since it uses less digits than its factorization.

22153118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 22153118400 in words is "twenty-two billion, one hundred fifty-three million, one hundred eighteen thousand, four hundred".