8191116960 has 192 divisors, whose sum is σ = 28995418368. Its totient is φ = 1928577024.

The previous prime is 8191116929. The next prime is 8191116971. The reversal of 8191116960 is 696111918.

It is a happy 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, 114984 + ... + 172056.

It is an arithmetic number, because the mean of its divisors is an integer number (151017804).

Almost surely, 2^8191116960 is an apocalyptic number.

8191116960 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 8191116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14497709184).

8191116960 is an abundant number, since it is smaller than the sum of its proper divisors (20804301408).

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

8191116960 is a wasteful number, since it uses less digits than its factorization.

8191116960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57127 (or 57119 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 42.

The square root of 8191116960 is about 90504.7897075066. The cubic root of 8191116960 is about 2015.8012448929.

The spelling of 8191116960 in words is "eight billion, one hundred ninety-one million, one hundred sixteen thousand, nine hundred sixty".