8979886808100 has 378 divisors, whose sum is σ = 31636483980486. Its totient is φ = 2210430643200.

The previous prime is 8979886808071. The next prime is 8979886808153. The reversal of 8979886808100 is 18086889798.

It can be written as a sum of positive squares in 9 ways, for example, as 7193510213184 + 1786376594916 = 2682072^2 + 1336554^2 .

It is a super-2 number, since 2×8979886808100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 11955660 + ... + 12684540.

Almost surely, 2^{8979886808100} 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 8979886808100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15818241990243).

8979886808100 is an abundant number, since it is smaller than the sum of its proper divisors (22656597172386).

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

8979886808100 is a wasteful number, since it uses less digits than its factorization.

8979886808100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728939 (or 728904 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 72.

The spelling of 8979886808100 in words is "eight trillion, nine hundred seventy-nine billion, eight hundred eighty-six million, eight hundred eight thousand, one hundred".