8516427509160 has 320 divisors, whose sum is σ = 29882396966400. Its totient is φ = 2171347098624.

The previous prime is 8516427509159. The next prime is 8516427509179. The reversal of 8516427509160 is 619057246158.

It is a happy number.

8516427509160 is a `hidden beast` number, since 8 + 5 + 1 + 6 + 427 + 50 + 9 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8516427509097 and 8516427509106.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 177110001 + ... + 177158079.

It is an arithmetic number, because the mean of its divisors is an integer number (93382490520).

Almost surely, 2^{8516427509160} 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 8516427509160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14941198483200).

8516427509160 is an abundant number, since it is smaller than the sum of its proper divisors (21365969457240).

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

8516427509160 is a wasteful number, since it uses less digits than its factorization.

8516427509160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50502 (or 50489 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 8516427509160 in words is "eight trillion, five hundred sixteen billion, four hundred twenty-seven million, five hundred nine thousand, one hundred sixty".