12785041152 has 432 divisors, whose sum is σ = 42185707200. Its totient is φ = 3695247360.

The previous prime is 12785041151. The next prime is 12785041163. The reversal of 12785041152 is 25114058721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12785041151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35612749 + ... + 35613107.

It is an arithmetic number, because the mean of its divisors is an integer number (97652100).

Almost surely, 2^12785041152 is an apocalyptic number.

12785041152 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 12785041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21092853600).

12785041152 is an abundant number, since it is smaller than the sum of its proper divisors (29400666048).

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

12785041152 is a wasteful number, since it uses less digits than its factorization.

12785041152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

Adding to 12785041152 its reverse (25114058721), we get a palindrome (37899099873).

The spelling of 12785041152 in words is "twelve billion, seven hundred eighty-five million, forty-one thousand, one hundred fifty-two".