22575620160 has 280 divisors, whose sum is σ = 80641713240. Its totient is φ = 5994971136.

The previous prime is 22575620159. The next prime is 22575620161. The reversal of 22575620160 is 6102657522.

22575620160 is a `hidden beast` number, since 2 + 2 + 575 + 6 + 20 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (22575620159) and next prime (22575620161).

It can be written as a sum of positive squares in 4 ways, for example, as 15123096576 + 7452523584 = 122976^2 + 86328^2 .

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 (22575620161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6659746 + ... + 6663134.

Almost surely, 2^22575620160 is an apocalyptic number.

22575620160 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 22575620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320856620).

22575620160 is an abundant number, since it is smaller than the sum of its proper divisors (58066093080).

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

22575620160 is a wasteful number, since it uses less digits than its factorization.

22575620160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675 (or 3656 counting only the distinct ones).

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

The spelling of 22575620160 in words is "twenty-two billion, five hundred seventy-five million, six hundred twenty thousand, one hundred sixty".