22082725665 has 288 divisors, whose sum is σ = 53093634048. Its totient is φ = 8257075200.

The previous prime is 22082725631. The next prime is 22082725681. The reversal of 22082725665 is 56652728022.

22082725665 is a `hidden beast` number, since 2 + 2 + 0 + 82 + 7 + 2 + 566 + 5 = 666.

It is not a de Polignac number, because 22082725665 - 2⁹ = 22082725153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22082725665.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20314752 + ... + 20315838.

It is an arithmetic number, because the mean of its divisors is an integer number (184352896).

Almost surely, 2^22082725665 is an apocalyptic number.

It is an amenable number.

22082725665 is an abundant number, since it is smaller than the sum of its proper divisors (31010908383).

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

22082725665 is a wasteful number, since it uses less digits than its factorization.

22082725665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

It can be divided in two parts, 22082 and 725665, that added together give a palindrome (747747).

The spelling of 22082725665 in words is "twenty-two billion, eighty-two million, seven hundred twenty-five thousand, six hundred sixty-five".