22260642605505 has 24 divisors (see below), whose sum is σ = 38586847958568. Its totient is φ = 11871809150976.

The previous prime is 22260642605497. The next prime is 22260642605557. The reversal of 22260642605505 is 50550624606222.

22260642605505 is a `hidden beast` number, since 2 + 2 + 2 + 60 + 64 + 26 + 0 + 5 + 505 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 123768165249 + 22136874440256 = 351807^2 + 4704984^2 .

It is not a de Polignac number, because 22260642605505 - 2³ = 22260642605497 is a prime.

It is a super-3 number, since 3×22260642605505³ (a number of 41 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10102662 + ... + 12107231.

It is an arithmetic number, because the mean of its divisors is an integer number (1607785331607).

Almost surely, 2^{22260642605505} is an apocalyptic number.

It is an amenable number.

22260642605505 is a deficient number, since it is larger than the sum of its proper divisors (16326205353063).

22260642605505 is a wasteful number, since it uses less digits than its factorization.

22260642605505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22232177 (or 22232174 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 22260642605505 in words is "twenty-two trillion, two hundred sixty billion, six hundred forty-two million, six hundred five thousand, five hundred five".