8199751560 has 768 divisors, whose sum is σ = 34152192000. Its totient is φ = 1528750080.

The previous prime is 8199751543. The next prime is 8199751601. The reversal of 8199751560 is 651579918.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 92131996 + ... + 92132084.

It is an arithmetic number, because the mean of its divisors is an integer number (44469000).

Almost surely, 2^8199751560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8199751560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17076096000).

8199751560 is an abundant number, since it is smaller than the sum of its proper divisors (25952440440).

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

8199751560 is a wasteful number, since it uses less digits than its factorization.

8199751560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 51.

The square root of 8199751560 is about 90552.4795905667. The cubic root of 8199751560 is about 2016.5093097022.

The spelling of 8199751560 in words is "eight billion, one hundred ninety-nine million, seven hundred fifty-one thousand, five hundred sixty".