22815535680 has 560 divisors, whose sum is σ = 95046247296. Its totient is φ = 5086126080.

The previous prime is 22815535601. The next prime is 22815535681. The reversal of 22815535680 is 8653551822.

22815535680 is a `hidden beast` number, since 2 + 2 + 81 + 5 + 5 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is not an unprimeable number, because it can be changed into a prime (22815535681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7437507 + ... + 7440573.

Almost surely, 2^22815535680 is an apocalyptic number.

22815535680 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 22815535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47523123648).

22815535680 is an abundant number, since it is smaller than the sum of its proper divisors (72230711616).

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

22815535680 is a wasteful number, since it uses less digits than its factorization.

22815535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 22815535680 in words is "twenty-two billion, eight hundred fifteen million, five hundred thirty-five thousand, six hundred eighty".