22686535872 has 1008 divisors, whose sum is σ = 90995195200. Its totient is φ = 5364817920.

The previous prime is 22686535813. The next prime is 22686535873. The reversal of 22686535872 is 27853568622.

It is a happy number.

22686535872 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 6 + 53 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is not an unprimeable number, because it can be changed into a prime (22686535873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 310774428 + ... + 310774500.

Almost surely, 2^22686535872 is an apocalyptic number.

22686535872 is a gapful number since it is divisible by the number (22) 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 22686535872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45497597600).

22686535872 is an abundant number, since it is smaller than the sum of its proper divisors (68308659328).

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

22686535872 is a wasteful number, since it uses less digits than its factorization.

22686535872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 109 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 22686535872 in words is "twenty-two billion, six hundred eighty-six million, five hundred thirty-five thousand, eight hundred seventy-two".