6009129126 has 256 divisors, whose sum is σ = 18876211200. Its totient is φ = 1364688000.

The previous prime is 6009129059. The next prime is 6009129131. The reversal of 6009129126 is 6219219006.

6009129126 is a `hidden beast` number, since 600 + 9 + 1 + 29 + 1 + 26 = 666.

It is a super-2 number, since 2×6009129126² = 72219265705883047752, which 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 (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1024101 + ... + 1029951.

It is an arithmetic number, because the mean of its divisors is an integer number (73735200).

Almost surely, 2^6009129126 is an apocalyptic number.

6009129126 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 6009129126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9438105600).

6009129126 is an abundant number, since it is smaller than the sum of its proper divisors (12867082074).

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

6009129126 is a wasteful number, since it uses less digits than its factorization.

6009129126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912 (or 5906 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 6009129126 is about 77518.5727809794. The cubic root of 6009129126 is about 1818.0417215316.

The spelling of 6009129126 in words is "six billion, nine million, one hundred twenty-nine thousand, one hundred twenty-six".