8005517164008 has 512 divisors, whose sum is σ = 28824305664000. Its totient is φ = 1999213332480.

The previous prime is 8005517164003. The next prime is 8005517164039. The reversal of 8005517164008 is 8004617155008.

8005517164008 is a `hidden beast` number, since 80 + 0 + 5 + 517 + 16 + 40 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (8005517164003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 977351193 + ... + 977359383.

It is an arithmetic number, because the mean of its divisors is an integer number (56297472000).

Almost surely, 2^{8005517164008} 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 8005517164008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14412152832000).

8005517164008 is an abundant number, since it is smaller than the sum of its proper divisors (20818788499992).

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

8005517164008 is a wasteful number, since it uses less digits than its factorization.

8005517164008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10862 (or 10852 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 8005517164008 in words is "eight trillion, five billion, five hundred seventeen million, one hundred sixty-four thousand, eight".