6005511106006 has 32 divisors (see below), whose sum is σ = 9584642856960. Its totient is φ = 2815844295264.

The previous prime is 6005511105989. The next prime is 6005511106099. The reversal of 6005511106006 is 6006011155006.

It is a super-2 number, since 2×6005511106006² (a number of 26 digits) contains 22 as substring.

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, 2231475 + ... + 4121953.

It is an arithmetic number, because the mean of its divisors is an integer number (299520089280).

Almost surely, 2^{6005511106006} is an apocalyptic number.

6005511106006 is a deficient number, since it is larger than the sum of its proper divisors (3579131750954).

6005511106006 is a wasteful number, since it uses less digits than its factorization.

6005511106006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891860.

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 6005511106006 in words is "six trillion, five billion, five hundred eleven million, one hundred six thousand, six".