22606382400 has 672 divisors, whose sum is σ = 94518236160. Its totient is φ = 4605050880.

The previous prime is 22606382377. The next prime is 22606382443. The reversal of 22606382400 is 428360622.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×22606382400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10851759 + ... + 10853841.

Almost surely, 2^22606382400 is an apocalyptic number.

22606382400 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 22606382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47259118080).

22606382400 is an abundant number, since it is smaller than the sum of its proper divisors (71911853760).

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

22606382400 is a wasteful number, since it uses less digits than its factorization.

22606382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 22606382400 in words is "twenty-two billion, six hundred six million, three hundred eighty-two thousand, four hundred".