22401836160 has 256 divisors, whose sum is σ = 78057907200. Its totient is φ = 5419560960.

The previous prime is 22401836143. The next prime is 22401836179. The reversal of 22401836160 is 6163810422.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15353511 + ... + 15354969.

It is an arithmetic number, because the mean of its divisors is an integer number (304913700).

Almost surely, 2^22401836160 is an apocalyptic number.

22401836160 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 22401836160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39028953600).

22401836160 is an abundant number, since it is smaller than the sum of its proper divisors (55656071040).

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

22401836160 is a wasteful number, since it uses less digits than its factorization.

22401836160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 22401836160 in words is "twenty-two billion, four hundred one million, eight hundred thirty-six thousand, one hundred sixty".