12085666725888 has 1080 divisors, whose sum is σ = 43173176364864. Its totient is φ = 3366597427200.

The previous prime is 12085666725863. The next prime is 12085666725889. The reversal of 12085666725888 is 88852766658021.

12085666725888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12085666725889) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7998455053 + ... + 7998456563.

Almost surely, 2^{12085666725888} is an apocalyptic number.

12085666725888 is a gapful number since it is divisible by the number (18) 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 12085666725888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21586588182432).

12085666725888 is an abundant number, since it is smaller than the sum of its proper divisors (31087509638976).

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

12085666725888 is an frugal number, since it uses more digits than its factorization.

12085666725888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 619315200, while the sum is 72.

The spelling of 12085666725888 in words is "twelve trillion, eighty-five billion, six hundred sixty-six million, seven hundred twenty-five thousand, eight hundred eighty-eight".