6007166000000 has 672 divisors, whose sum is σ = 16671128794320. Its totient is φ = 2154240000000.

The previous prime is 6007165999993. The next prime is 6007166000063. The reversal of 6007166000000 is 6617006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 24925999880 + ... + 24926000120.

Almost surely, 2^{6007166000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6007166000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8335564397160).

6007166000000 is an abundant number, since it is smaller than the sum of its proper divisors (10663962794320).

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

6007166000000 is an equidigital number, since it uses as much as digits as its factorization.

6007166000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The spelling of 6007166000000 in words is "six trillion, seven billion, one hundred sixty-six million", and thus it is an aban number.