22565921040 has 360 divisors, whose sum is σ = 86896971720. Its totient is φ = 5227462656.

The previous prime is 22565921039. The next prime is 22565921087. The reversal of 22565921040 is 4012956522.

22565921040 is a `hidden beast` number, since 2 + 2 + 56 + 592 + 10 + 4 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 12648151296 + 9917769744 = 112464^2 + 99588^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 22565920986 and 22565921004.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2063106 + ... + 2074014.

It is an arithmetic number, because the mean of its divisors is an integer number (241380477).

Almost surely, 2^22565921040 is an apocalyptic number.

22565921040 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 22565921040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43448485860).

22565921040 is an abundant number, since it is smaller than the sum of its proper divisors (64331050680).

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

22565921040 is a wasteful number, since it uses less digits than its factorization.

22565921040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10971 (or 10949 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 22565921040 in words is "twenty-two billion, five hundred sixty-five million, nine hundred twenty-one thousand, forty".