8909107130880 has 960 divisors, whose sum is σ = 35478940273920. Its totient is φ = 2045873356800.

The previous prime is 8909107130863. The next prime is 8909107130893. The reversal of 8909107130880 is 880317019098.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 389525845 + ... + 389548715.

It is an arithmetic number, because the mean of its divisors is an integer number (36957229452).

Almost surely, 2^{8909107130880} is an apocalyptic number.

8909107130880 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 8909107130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17739470136960).

8909107130880 is an abundant number, since it is smaller than the sum of its proper divisors (26569833143040).

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

8909107130880 is a wasteful number, since it uses less digits than its factorization.

8909107130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22993 (or 22974 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 8909107130880 in words is "eight trillion, nine hundred nine billion, one hundred seven million, one hundred thirty thousand, eight hundred eighty".