22755605413536 has 72 divisors (see below), whose sum is σ = 66460205706804. Its totient is φ = 7380196346880.

The previous prime is 22755605413531. The next prime is 22755605413537. The reversal of 22755605413536 is 63531450655722.

22755605413536 is a `hidden beast` number, since 2 + 2 + 7 + 5 + 5 + 60 + 5 + 41 + 3 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19906409955600 + 2849195457936 = 4461660^2 + 1687956^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (22755605413531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1067726085 + ... + 1067747396.

Almost surely, 2^{22755605413536} is an apocalyptic number.

It is an amenable number.

22755605413536 is an abundant number, since it is smaller than the sum of its proper divisors (43704600293268).

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

22755605413536 is a wasteful number, since it uses less digits than its factorization.

22755605413536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135473534 (or 2135473523 counting only the distinct ones).

The product of its (nonzero) digits is 22680000, while the sum is 54.

The spelling of 22755605413536 in words is "twenty-two trillion, seven hundred fifty-five billion, six hundred five million, four hundred thirteen thousand, five hundred thirty-six".