8381077110080 has 224 divisors, whose sum is σ = 21402810696960. Its totient is φ = 3118236549120.

The previous prime is 8381077110041. The next prime is 8381077110137. The reversal of 8381077110080 is 800117701838.

It is a happy number.

It is a Cunningham number, because it is equal to 2895009²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92595086 + ... + 92685554.

It is an arithmetic number, because the mean of its divisors is an integer number (95548262040).

Almost surely, 2^{8381077110080} is an apocalyptic number.

8381077110080 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 8381077110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10701405348480).

8381077110080 is an abundant number, since it is smaller than the sum of its proper divisors (13021733586880).

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

8381077110080 is a wasteful number, since it uses less digits than its factorization.

8381077110080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90857 (or 90847 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 44.

The spelling of 8381077110080 in words is "eight trillion, three hundred eighty-one billion, seventy-seven million, one hundred ten thousand, eighty".