12855355776 has 640 divisors, whose sum is σ = 43222671360. Its totient is φ = 3777269760.

The previous prime is 12855355763. The next prime is 12855355781. The reversal of 12855355776 is 67755355821.

12855355776 is a `hidden beast` number, since 1 + 2 + 85 + 5 + 3 + 557 + 7 + 6 = 666.

12855355776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 273518185 + ... + 273518231.

It is an arithmetic number, because the mean of its divisors is an integer number (67535424).

Almost surely, 2^12855355776 is an apocalyptic number.

12855355776 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 12855355776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21611335680).

12855355776 is an abundant number, since it is smaller than the sum of its proper divisors (30367315584).

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

12855355776 is a wasteful number, since it uses less digits than its factorization.

12855355776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 143 counting only the distinct ones).

The product of its digits is 8820000, while the sum is 54.

The spelling of 12855355776 in words is "twelve billion, eight hundred fifty-five million, three hundred fifty-five thousand, seven hundred seventy-six".