22560314400000 has 2592 divisors, whose sum is σ = 92763557752320. Its totient is φ = 5434490880000.

The previous prime is 22560314399993. The next prime is 22560314400047. The reversal of 22560314400000 is 441306522.

22560314400000 is a `hidden beast` number, since 2 + 2 + 5 + 603 + 14 + 40 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 199648799944 + ... + 199648800056.

Almost surely, 2^{22560314400000} is an apocalyptic number.

22560314400000 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 22560314400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46381778876160).

22560314400000 is an abundant number, since it is smaller than the sum of its proper divisors (70203243352320).

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

22560314400000 is an frugal number, since it uses more digits than its factorization.

22560314400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 22560314400000 its reverse (441306522), we get a palindrome (22560755706522).

The spelling of 22560314400000 in words is "twenty-two trillion, five hundred sixty billion, three hundred fourteen million, four hundred thousand".