12085286089760 has 192 divisors, whose sum is σ = 31509282631680. Its totient is φ = 4351823339520.

The previous prime is 12085286089757. The next prime is 12085286089817. The reversal of 12085286089760 is 6798068258021.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12085286089693 and 12085286089702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245496509 + ... + 245545731.

It is an arithmetic number, because the mean of its divisors is an integer number (164110847040).

Almost surely, 2^{12085286089760} is an apocalyptic number.

12085286089760 is a gapful number since it is divisible by the number (10) 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 12085286089760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15754641315840).

12085286089760 is an abundant number, since it is smaller than the sum of its proper divisors (19423996541920).

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

12085286089760 is a wasteful number, since it uses less digits than its factorization.

12085286089760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52171 (or 52163 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 62.

The spelling of 12085286089760 in words is "twelve trillion, eighty-five billion, two hundred eighty-six million, eighty-nine thousand, seven hundred sixty".