8115660000 has 960 divisors, whose sum is σ = 35898508800. Its totient is φ = 1741824000.

The previous prime is 8115659987. The next prime is 8115660001. The reversal of 8115660000 is 665118.

8115660000 is a `hidden beast` number, since 8 + 1 + 1 + 56 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8115660001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 71819944 + ... + 71820056.

It is an arithmetic number, because the mean of its divisors is an integer number (37394280).

Almost surely, 2^8115660000 is an apocalyptic number.

8115660000 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 8115660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17949254400).

8115660000 is an abundant number, since it is smaller than the sum of its proper divisors (27782848800).

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

8115660000 is a wasteful number, since it uses less digits than its factorization.

8115660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 8115660000 is about 90086.9579905993. The cubic root of 8115660000 is about 2009.5922541142.

The spelling of 8115660000 in words is "eight billion, one hundred fifteen million, six hundred sixty thousand".