8080107801120 has 288 divisors, whose sum is σ = 28202849438400. Its totient is φ = 2105927534592.

The previous prime is 8080107801053. The next prime is 8080107801203. The reversal of 8080107801120 is 211087010808.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14423211 + ... + 14972949.

It is an arithmetic number, because the mean of its divisors is an integer number (97926560550).

Almost surely, 2^{8080107801120} is an apocalyptic number.

8080107801120 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 8080107801120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14101424719200).

8080107801120 is an abundant number, since it is smaller than the sum of its proper divisors (20122741637280).

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

8080107801120 is a wasteful number, since it uses less digits than its factorization.

8080107801120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549992 (or 549981 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The spelling of 8080107801120 in words is "eight trillion, eighty billion, one hundred seven million, eight hundred one thousand, one hundred twenty".