12385255806 has 256 divisors, whose sum is σ = 35079782400. Its totient is φ = 3172387680.

The previous prime is 12385255801. The next prime is 12385255819. The reversal of 12385255806 is 60855258321.

12385255806 is a `hidden beast` number, since 12 + 3 + 8 + 52 + 5 + 580 + 6 = 666.

It is a super-2 number, since 2×12385255806² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12385255801) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51821035 + ... + 51821273.

It is an arithmetic number, because the mean of its divisors is an integer number (137030400).

Almost surely, 2^12385255806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12385255806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17539891200).

12385255806 is an abundant number, since it is smaller than the sum of its proper divisors (22694526594).

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

12385255806 is a wasteful number, since it uses less digits than its factorization.

12385255806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 12385255806 in words is "twelve billion, three hundred eighty-five million, two hundred fifty-five thousand, eight hundred six".