12835865952 has 864 divisors, whose sum is σ = 49273346304. Its totient is φ = 3135283200.

The previous prime is 12835865927. The next prime is 12835865953. The reversal of 12835865952 is 25956853821.

It is a happy number.

12835865952 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 586 + 5 + 9 + 52 = 666.

12835865952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12835865953) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 210424002 + ... + 210424062.

It is an arithmetic number, because the mean of its divisors is an integer number (57029336).

Almost surely, 2^12835865952 is an apocalyptic number.

12835865952 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 12835865952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24636673152).

12835865952 is an abundant number, since it is smaller than the sum of its proper divisors (36437480352).

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

12835865952 is a wasteful number, since it uses less digits than its factorization.

12835865952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The spelling of 12835865952 in words is "twelve billion, eight hundred thirty-five million, eight hundred sixty-five thousand, nine hundred fifty-two".