22689538560 has 800 divisors, whose sum is σ = 92332215360. Its totient is φ = 5279219712.

The previous prime is 22689538559. The next prime is 22689538561. The reversal of 22689538560 is 6583598622.

22689538560 is a `hidden beast` number, since 2 + 26 + 8 + 9 + 53 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (22689538559) and next prime (22689538561).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 22689538497 and 22689538506.

It is not an unprimeable number, because it can be changed into a prime (22689538561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51217699 + ... + 51218141.

Almost surely, 2^22689538560 is an apocalyptic number.

22689538560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22689538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46166107680).

22689538560 is an abundant number, since it is smaller than the sum of its proper divisors (69642676800).

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

22689538560 is a wasteful number, since it uses less digits than its factorization.

22689538560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 22689538560 in words is "twenty-two billion, six hundred eighty-nine million, five hundred thirty-eight thousand, five hundred sixty".