12785602832352 has 1728 divisors, whose sum is σ = 48163769821440. Its totient is φ = 3190711910400.

The previous prime is 12785602832339. The next prime is 12785602832371. The reversal of 12785602832352 is 25323820658721.

12785602832352 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 5 + 6 + 0 + 283 + 2 + 352 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19946337952 + ... + 19946338592.

It is an arithmetic number, because the mean of its divisors is an integer number (27872551980).

Almost surely, 2^{12785602832352} is an apocalyptic number.

12785602832352 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 12785602832352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24081884910720).

12785602832352 is an abundant number, since it is smaller than the sum of its proper divisors (35378166989088).

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

12785602832352 is a wasteful number, since it uses less digits than its factorization.

12785602832352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 12785602832352 in words is "twelve trillion, seven hundred eighty-five billion, six hundred two million, eight hundred thirty-two thousand, three hundred fifty-two".