8538983102880 has 336 divisors, whose sum is σ = 30276288695520. Its totient is φ = 2274795892224.

The previous prime is 8538983102879. The next prime is 8538983102891. The reversal of 8538983102880 is 882013898358.

8538983102880 is a `hidden beast` number, since 8 + 5 + 38 + 9 + 8 + 310 + 288 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 118820239 + ... + 118892081.

It is an arithmetic number, because the mean of its divisors is an integer number (90108002070).

Almost surely, 2^{8538983102880} is an apocalyptic number.

8538983102880 is a gapful number since it is divisible by the number (80) 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 8538983102880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15138144347760).

8538983102880 is an abundant number, since it is smaller than the sum of its proper divisors (21737305592640).

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

8538983102880 is a wasteful number, since it uses less digits than its factorization.

8538983102880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72895 (or 72872 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 8538983102880 in words is "eight trillion, five hundred thirty-eight billion, nine hundred eighty-three million, one hundred two thousand, eight hundred eighty".