12085710840 has 768 divisors, whose sum is σ = 49641984000. Its totient is φ = 2604026880.

The previous prime is 12085710719. The next prime is 12085710841. The reversal of 12085710840 is 4801758021.

12085710840 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 571 + 0 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12085710795 and 12085710804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12085710841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86947491 + ... + 86947629.

It is an arithmetic number, because the mean of its divisors is an integer number (64638000).

Almost surely, 2^12085710840 is an apocalyptic number.

12085710840 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 12085710840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24820992000).

12085710840 is an abundant number, since it is smaller than the sum of its proper divisors (37556273160).

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

12085710840 is a wasteful number, since it uses less digits than its factorization.

12085710840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 12085710840 in words is "twelve billion, eighty-five million, seven hundred ten thousand, eight hundred forty".