8068809093120 has 312 divisors, whose sum is σ = 27988710693216. Its totient is φ = 2150124355584.

The previous prime is 8068809093013. The next prime is 8068809093127. The reversal of 8068809093120 is 213909088608.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8068809093127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266695914 + ... + 266726166.

It is an arithmetic number, because the mean of its divisors is an integer number (89707406068).

Almost surely, 2^{8068809093120} is an apocalyptic number.

8068809093120 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 8068809093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13994355346608).

8068809093120 is an abundant number, since it is smaller than the sum of its proper divisors (19919901600096).

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

8068809093120 is a wasteful number, since it uses less digits than its factorization.

8068809093120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31735 (or 31710 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 8068809093120 in words is "eight trillion, sixty-eight billion, eight hundred nine million, ninety-three thousand, one hundred twenty".