8108988293120 has 1792 divisors, whose sum is σ = 26025107963904. Its totient is φ = 2378170368000.

The previous prime is 8108988293099. The next prime is 8108988293221. The reversal of 8108988293120 is 213928898018.

It is a super-2 number, since 2×8108988293120² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8108988293120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114211102685 + ... + 114211102755.

It is an arithmetic number, because the mean of its divisors is an integer number (14522939712).

Almost surely, 2^{8108988293120} is an apocalyptic number.

8108988293120 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 8108988293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13012553981952).

8108988293120 is an abundant number, since it is smaller than the sum of its proper divisors (17916119670784).

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

8108988293120 is a wasteful number, since it uses less digits than its factorization.

8108988293120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 59.

The spelling of 8108988293120 in words is "eight trillion, one hundred eight billion, nine hundred eighty-eight million, two hundred ninety-three thousand, one hundred twenty".