8006094582304 has 192 divisors, whose sum is σ = 20180478931200. Its totient is φ = 3040941109248.

The previous prime is 8006094582301. The next prime is 8006094582323. The reversal of 8006094582304 is 4032854906008.

It is not an unprimeable number, because it can be changed into a prime (8006094582301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14851374 + ... + 15381010.

It is an arithmetic number, because the mean of its divisors is an integer number (105106661100).

Almost surely, 2^{8006094582304} 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 8006094582304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10090239465600).

8006094582304 is an abundant number, since it is smaller than the sum of its proper divisors (12174384348896).

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

8006094582304 is a wasteful number, since it uses less digits than its factorization.

8006094582304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529875 (or 529867 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

The spelling of 8006094582304 in words is "eight trillion, six billion, ninety-four million, five hundred eighty-two thousand, three hundred four".