12855892176 has 240 divisors, whose sum is σ = 38706570240. Its totient is φ = 3971358720.

The previous prime is 12855892139. The next prime is 12855892207. The reversal of 12855892176 is 67129855821.

12855892176 is a `hidden beast` number, since 12 + 8 + 558 + 9 + 2 + 1 + 76 = 666.

12855892176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38147880 + ... + 38148216.

It is an arithmetic number, because the mean of its divisors is an integer number (161277376).

Almost surely, 2^12855892176 is an apocalyptic number.

12855892176 is a gapful number since it is divisible by the number (16) 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 12855892176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19353285120).

12855892176 is an abundant number, since it is smaller than the sum of its proper divisors (25850678064).

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

12855892176 is a wasteful number, since it uses less digits than its factorization.

12855892176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 625 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 54.

The spelling of 12855892176 in words is "twelve billion, eight hundred fifty-five million, eight hundred ninety-two thousand, one hundred seventy-six".