21116563886592 has 240 divisors, whose sum is σ = 61510186366200. Its totient is φ = 6973497409536.

The previous prime is 21116563886563. The next prime is 21116563886623. The reversal of 21116563886592 is 29568836561112.

21116563886592 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 6 + 5 + 6 + 38 + 8 + 6 + 592 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7369791549696 + 13746772336896 = 2714736^2 + 3707664^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1393917034 + ... + 1393932182.

Almost surely, 2^{21116563886592} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21116563886592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30755093183100).

21116563886592 is an abundant number, since it is smaller than the sum of its proper divisors (40393622479608).

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

21116563886592 is a wasteful number, since it uses less digits than its factorization.

21116563886592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17963 (or 17944 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 63.

The spelling of 21116563886592 in words is "twenty-one trillion, one hundred sixteen billion, five hundred sixty-three million, eight hundred eighty-six thousand, five hundred ninety-two".