8003086508560 has 320 divisors, whose sum is σ = 22156185913344. Its totient is φ = 2650152960000.

The previous prime is 8003086508539. The next prime is 8003086508587. The reversal of 8003086508560 is 658056803008.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 351757185 + ... + 351779935.

Almost surely, 2^{8003086508560} is an apocalyptic number.

8003086508560 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 8003086508560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11078092956672).

8003086508560 is an abundant number, since it is smaller than the sum of its proper divisors (14153099404784).

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

8003086508560 is a wasteful number, since it uses less digits than its factorization.

8003086508560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23202 (or 23196 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

The spelling of 8003086508560 in words is "eight trillion, three billion, eighty-six million, five hundred eight thousand, five hundred sixty".