22563555120 has 240 divisors, whose sum is σ = 77732123040. Its totient is φ = 5862334464.

The previous prime is 22563555073. The next prime is 22563555193. The reversal of 22563555120 is 2155536522.

22563555120 is a `hidden beast` number, since 2 + 2 + 5 + 635 + 5 + 5 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×22563555120² (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 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 47 ways as a sum of consecutive naturals, for example, 18358666 + ... + 18359894.

It is an arithmetic number, because the mean of its divisors is an integer number (323883846).

Almost surely, 2^22563555120 is an apocalyptic number.

22563555120 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 22563555120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38866061520).

22563555120 is an abundant number, since it is smaller than the sum of its proper divisors (55168567920).

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

22563555120 is a wasteful number, since it uses less digits than its factorization.

22563555120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 22563555120 in words is "twenty-two billion, five hundred sixty-three million, five hundred fifty-five thousand, one hundred twenty".