6006004317126 has 320 divisors, whose sum is σ = 15426512640000. Its totient is φ = 1729817856000.

The previous prime is 6006004317091. The next prime is 6006004317167. The reversal of 6006004317126 is 6217134006006.

It is a happy number.

6006004317126 is a `hidden beast` number, since 6 + 0 + 0 + 600 + 4 + 31 + 7 + 12 + 6 = 666.

It is a super-2 number, since 2×6006004317126² (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 159 ways as a sum of consecutive naturals, for example, 4208832025 + ... + 4208833451.

It is an arithmetic number, because the mean of its divisors is an integer number (48207852000).

Almost surely, 2^{6006004317126} is an apocalyptic number.

6006004317126 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6006004317126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7713256320000).

6006004317126 is an abundant number, since it is smaller than the sum of its proper divisors (9420508322874).

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

6006004317126 is a wasteful number, since it uses less digits than its factorization.

6006004317126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 6006004317126 in words is "six trillion, six billion, four million, three hundred seventeen thousand, one hundred twenty-six".