8008515100516 has 108 divisors (see below), whose sum is σ = 17671304540988. Its totient is φ = 3163696050816.

The previous prime is 8008515100489. The next prime is 8008515100519. The reversal of 8008515100516 is 6150015158008.

It can be written as a sum of positive squares in 2 ways, for example, as 4940377508416 + 3068137592100 = 2222696^2 + 1751610^2 .

It is not an unprimeable number, because it can be changed into a prime (8008515100519) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1088446 + ... + 4147498.

Almost surely, 2^{8008515100516} 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 8008515100516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8835652270494).

8008515100516 is an abundant number, since it is smaller than the sum of its proper divisors (9662789440472).

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

8008515100516 is a wasteful number, since it uses less digits than its factorization.

8008515100516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059146 (or 3059118 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 40.

The spelling of 8008515100516 in words is "eight trillion, eight billion, five hundred fifteen million, one hundred thousand, five hundred sixteen".