22045907520 has 1008 divisors, whose sum is σ = 97041632688. Its totient is φ = 4551966720.

The previous prime is 22045907497. The next prime is 22045907531. The reversal of 22045907520 is 2570954022.

It is a happy number.

22045907520 is a `hidden beast` number, since 2 + 2 + 0 + 45 + 90 + 7 + 520 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1316818944 + 20729088576 = 36288^2 + 143976^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 111908062 + ... + 111908258.

It is an arithmetic number, because the mean of its divisors is an integer number (96271461).

Almost surely, 2^22045907520 is an apocalyptic number.

22045907520 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 22045907520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48520816344).

22045907520 is an abundant number, since it is smaller than the sum of its proper divisors (74995725168).

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

22045907520 is a wasteful number, since it uses less digits than its factorization.

22045907520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 22045907520 in words is "twenty-two billion, forty-five million, nine hundred seven thousand, five hundred twenty".