6000000000006 has 32 divisors (see below), whose sum is σ = 12253174805088. Its totient is φ = 1958204160000.

The previous prime is 5999999999891. The next prime is 6000000000023.

6000000000006 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 5999999999910 and 6000000000000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49934995 + ... + 50055006.

It is an arithmetic number, because the mean of its divisors is an integer number (382911712659).

Almost surely, 2^{6000000000006} is an apocalyptic number.

6000000000006 is an abundant number, since it is smaller than the sum of its proper divisors (6253174805082).

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

6000000000006 is a wasteful number, since it uses less digits than its factorization.

6000000000006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99990216.

The product of its (nonzero) digits is 36, while the sum is 12.

It can be divided in two parts, 600000000000 and 6, that added together give a palindrome (600000000006).

The spelling of 6000000000006 in words is "six trillion, six", and thus it is an aban number, an eban number, and an uban number.