12432834555552 has 288 divisors, whose sum is σ = 35737117678080. Its totient is φ = 4099897866240.

The previous prime is 12432834555527. The next prime is 12432834555613. The reversal of 12432834555552 is 25555543823421.

12432834555552 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 2 + 8 + 34 + 5 + 55 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12545745777 + ... + 12545746767.

It is an arithmetic number, because the mean of its divisors is an integer number (124087214160).

Almost surely, 2^{12432834555552} is an apocalyptic number.

12432834555552 is a gapful number since it is divisible by the number (12) 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 12432834555552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17868558839040).

12432834555552 is an abundant number, since it is smaller than the sum of its proper divisors (23304283122528).

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

12432834555552 is a wasteful number, since it uses less digits than its factorization.

12432834555552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2185 counting only the distinct ones).

The product of its digits is 28800000, while the sum is 54.

The spelling of 12432834555552 in words is "twelve trillion, four hundred thirty-two billion, eight hundred thirty-four million, five hundred fifty-five thousand, five hundred fifty-two".