22561718400 has 768 divisors, whose sum is σ = 90837936000. Its totient is φ = 5434490880.

The previous prime is 22561718393. The next prime is 22561718407. The reversal of 22561718400 is 481716522.

22561718400 is a `hidden beast` number, since 2 + 25 + 617 + 18 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22561718393) and next prime (22561718407).

It is a super-2 number, since 2×22561718400² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22561718407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59529411 + ... + 59529789.

Almost surely, 2^22561718400 is an apocalyptic number.

22561718400 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 22561718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45418968000).

22561718400 is an abundant number, since it is smaller than the sum of its proper divisors (68276217600).

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

22561718400 is a wasteful number, since it uses less digits than its factorization.

22561718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 22561718400 in words is "twenty-two billion, five hundred sixty-one million, seven hundred eighteen thousand, four hundred".