8000006000008 has 32 divisors (see below), whose sum is σ = 16366470513120. Its totient is φ = 3635739280000.

The previous prime is 8000005999981. The next prime is 8000006000047.

8000006000008 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7325158 + ... + 8346133.

It is an arithmetic number, because the mean of its divisors is an integer number (511452203535).

Almost surely, 2^{8000006000008} is an apocalyptic number.

8000006000008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8000006000008 is an abundant number, since it is smaller than the sum of its proper divisors (8366464513112).

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

8000006000008 is a wasteful number, since it uses less digits than its factorization.

8000006000008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15677109 (or 15677105 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The spelling of 8000006000008 in words is "eight trillion, six million, eight", and thus it is an aban number and an uban number.