12000086760384 has 336 divisors, whose sum is σ = 36367830914688. Its totient is φ = 3921879057408.

The previous prime is 12000086760359. The next prime is 12000086760413. The reversal of 12000086760384 is 48306768000021.

12000086760384 is a `hidden beast` number, since 1 + 200 + 0 + 0 + 8 + 6 + 7 + 60 + 384 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1472941399 + ... + 1472949545.

It is an arithmetic number, because the mean of its divisors is an integer number (108237592008).

Almost surely, 2^{12000086760384} 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 12000086760384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18183915457344).

12000086760384 is an abundant number, since it is smaller than the sum of its proper divisors (24367744154304).

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

12000086760384 is an equidigital number, since it uses as much as digits as its factorization.

12000086760384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10014 (or 9992 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12000086760384 in words is "twelve trillion, eighty-six million, seven hundred sixty thousand, three hundred eighty-four".