22610580560 has 40 divisors (see below), whose sum is σ = 54855239040. Its totient is φ = 8651004032.

The previous prime is 22610580547. The next prime is 22610580569. The reversal of 22610580560 is 6508501622.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×22610580560² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22610580560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22610580569) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6142340 + ... + 6146019.

It is an arithmetic number, because the mean of its divisors is an integer number (1371380976).

Almost surely, 2^22610580560 is an apocalyptic number.

22610580560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22610580560 is an abundant number, since it is smaller than the sum of its proper divisors (32244658480).

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

22610580560 is a wasteful number, since it uses less digits than its factorization.

22610580560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12288395 (or 12288389 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 22610580560 in words is "twenty-two billion, six hundred ten million, five hundred eighty thousand, five hundred sixty".