6005975706006 has 16 divisors (see below), whose sum is σ = 12534210169344. Its totient is φ = 1914948775784.

The previous prime is 6005975705999. The next prime is 6005975706007. The reversal of 6005975706006 is 6006075795006.

It is a super-2 number, since 2×6005975706006² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6005975706006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005975706007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21760781406 + ... + 21760781681.

It is an arithmetic number, because the mean of its divisors is an integer number (783388135584).

Almost surely, 2^{6005975706006} is an apocalyptic number.

6005975706006 is an abundant number, since it is smaller than the sum of its proper divisors (6528234463338).

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

6005975706006 is a wasteful number, since it uses less digits than its factorization.

6005975706006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43521563115.

The product of its (nonzero) digits is 2381400, while the sum is 51.

The spelling of 6005975706006 in words is "six trillion, five billion, nine hundred seventy-five million, seven hundred six thousand, six".