12855360569436 has 576 divisors, whose sum is σ = 41804599689216. Its totient is φ = 3234334924800.

The previous prime is 12855360569431. The next prime is 12855360569459. The reversal of 12855360569436 is 63496506355821.

It is a happy number.

12855360569436 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 5 + 3 + 60 + 569 + 4 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12855360569431) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5305554121 + ... + 5305556543.

It is an arithmetic number, because the mean of its divisors is an integer number (72577430016).

Almost surely, 2^{12855360569436} 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 12855360569436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20902299844608).

12855360569436 is an abundant number, since it is smaller than the sum of its proper divisors (28949239119780).

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

12855360569436 is a wasteful number, since it uses less digits than its factorization.

12855360569436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 12855360569436 in words is "twelve trillion, eight hundred fifty-five billion, three hundred sixty million, five hundred sixty-nine thousand, four hundred thirty-six".