22121581585 has 48 divisors (see below), whose sum is σ = 29655787392. Its totient is φ = 15807334400.

The previous prime is 22121581579. The next prime is 22121581621. The reversal of 22121581585 is 58518512122.

It is not a de Polignac number, because 22121581585 - 2¹⁷ = 22121450513 is a prime.

It is a super-2 number, since 2×22121581585² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4351245 + ... + 4356325.

It is an arithmetic number, because the mean of its divisors is an integer number (617828904).

Almost surely, 2^22121581585 is an apocalyptic number.

It is an amenable number.

22121581585 is a deficient number, since it is larger than the sum of its proper divisors (7534205807).

22121581585 is a wasteful number, since it uses less digits than its factorization.

22121581585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5274 (or 5257 counting only the distinct ones).

The product of its digits is 64000, while the sum is 40.

The spelling of 22121581585 in words is "twenty-two billion, one hundred twenty-one million, five hundred eighty-one thousand, five hundred eighty-five".