8560800000 has 648 divisors, whose sum is σ = 32693923080. Its totient is φ = 2150400000.

The previous prime is 8560799993. The next prime is 8560800011. The reversal of 8560800000 is 80658.

It can be written as a sum of positive squares in 12 ways, for example, as 8108642304 + 452157696 = 90048^2 + 21264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 208799980 + ... + 208800020.

It is an arithmetic number, because the mean of its divisors is an integer number (50453585).

Almost surely, 2^8560800000 is an apocalyptic number.

8560800000 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 8560800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16346961540).

8560800000 is an abundant number, since it is smaller than the sum of its proper divisors (24133123080).

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

8560800000 is an equidigital number, since it uses as much as digits as its factorization.

8560800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8560800000 is about 92524.5913257659. The cubic root of 8560800000 is about 2045.6819679792.

Adding to 8560800000 its reverse (80658), we get a palindrome (8560880658).

The spelling of 8560800000 in words is "eight billion, five hundred sixty million, eight hundred thousand".