12305857824 has 192 divisors, whose sum is σ = 39699031680. Its totient is φ = 3683957760.

The previous prime is 12305857771. The next prime is 12305857873. The reversal of 12305857824 is 42875850321.

12305857824 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 58 + 578 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12305857824.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 400779 + ... + 430389.

It is an arithmetic number, because the mean of its divisors is an integer number (206765790).

Almost surely, 2^12305857824 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 12305857824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19849515840).

12305857824 is an abundant number, since it is smaller than the sum of its proper divisors (27393173856).

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

12305857824 is a wasteful number, since it uses less digits than its factorization.

12305857824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29680 (or 29666 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 12305857824 in words is "twelve billion, three hundred five million, eight hundred fifty-seven thousand, eight hundred twenty-four".