6005412055006 has 96 divisors (see below), whose sum is σ = 11495394288000. Its totient is φ = 2345687757504.

The previous prime is 6005412054899. The next prime is 6005412055007. The reversal of 6005412055006 is 6005502145006.

It is a super-2 number, since 2×6005412055006² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005412055007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16832640 + ... + 17185708.

It is an arithmetic number, because the mean of its divisors is an integer number (119743690500).

Almost surely, 2^{6005412055006} is an apocalyptic number.

6005412055006 is a deficient number, since it is larger than the sum of its proper divisors (5489982232994).

6005412055006 is a wasteful number, since it uses less digits than its factorization.

6005412055006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353203 (or 353170 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The spelling of 6005412055006 in words is "six trillion, five billion, four hundred twelve million, fifty-five thousand, six".