12007829586004 has 96 divisors (see below), whose sum is σ = 25230230323200. Its totient is φ = 4891970522880.

The previous prime is 12007829585987. The next prime is 12007829586023. The reversal of 12007829586004 is 40068592870021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65921317 + ... + 66103219.

It is an arithmetic number, because the mean of its divisors is an integer number (262814899200).

Almost surely, 2^{12007829586004} is an apocalyptic number.

12007829586004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12007829586004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12615115161600).

12007829586004 is an abundant number, since it is smaller than the sum of its proper divisors (13222400737196).

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

12007829586004 is a wasteful number, since it uses less digits than its factorization.

12007829586004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183293 (or 183291 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 12007829586004 in words is "twelve trillion, seven billion, eight hundred twenty-nine million, five hundred eighty-six thousand, four".