6005412055008 has 72 divisors (see below), whose sum is σ = 17710405018488. Its totient is φ = 2001804015744.

The previous prime is 6005412055007. The next prime is 6005412055039. The reversal of 6005412055008 is 8005502145006.

6005412055008 is a `hidden beast` number, since 60 + 0 + 5 + 41 + 2 + 0 + 550 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 386142691 + ... + 386158242.

It is an arithmetic number, because the mean of its divisors is an integer number (245977847479).

Almost surely, 2^{6005412055008} is an apocalyptic number.

It is an amenable number.

6005412055008 is an abundant number, since it is smaller than the sum of its proper divisors (11704992963480).

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

6005412055008 is an equidigital number, since it uses as much as digits as its factorization.

6005412055008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772300958 (or 772300938 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 6005412055008 in words is "six trillion, five billion, four hundred twelve million, fifty-five thousand, eight".