12068589139968 has 384 divisors, whose sum is σ = 33735451276800. Its totient is φ = 3832613830656.

The previous prime is 12068589139963. The next prime is 12068589140053. The reversal of 12068589139968 is 86993198586021.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 12068589139968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12068589139963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11843560963 + ... + 11843561981.

It is an arithmetic number, because the mean of its divisors is an integer number (87852737700).

Almost surely, 2^{12068589139968} 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 12068589139968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16867725638400).

12068589139968 is an abundant number, since it is smaller than the sum of its proper divisors (21666862136832).

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

12068589139968 is a wasteful number, since it uses less digits than its factorization.

12068589139968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 75.

The spelling of 12068589139968 in words is "twelve trillion, sixty-eight billion, five hundred eighty-nine million, one hundred thirty-nine thousand, nine hundred sixty-eight".