6560117995200 has 1008 divisors, whose sum is σ = 27080170091520. Its totient is φ = 1360952524800.

The previous prime is 6560117995199. The next prime is 6560117995231. The reversal of 6560117995200 is 25997110656.

It is a super-2 number, since 2×6560117995200² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4224157624 + ... + 4224159176.

Almost surely, 2^{6560117995200} is an apocalyptic number.

6560117995200 is a gapful number since it is divisible by the number (60) 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 6560117995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13540085045760).

6560117995200 is an abundant number, since it is smaller than the sum of its proper divisors (20520052096320).

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

6560117995200 is a wasteful number, since it uses less digits than its factorization.

6560117995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 51.

The spelling of 6560117995200 in words is "six trillion, five hundred sixty billion, one hundred seventeen million, nine hundred ninety-five thousand, two hundred".