12765524832 has 336 divisors, whose sum is σ = 40257725760. Its totient is φ = 3971172096.

The previous prime is 12765524803. The next prime is 12765524867. The reversal of 12765524832 is 23842556721.

12765524832 is a `hidden beast` number, since 1 + 27 + 6 + 552 + 48 + 32 = 666.

12765524832 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 an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 36788083 + ... + 36788429.

It is an arithmetic number, because the mean of its divisors is an integer number (119814660).

Almost surely, 2^12765524832 is an apocalyptic number.

12765524832 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 12765524832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20128862880).

12765524832 is an abundant number, since it is smaller than the sum of its proper divisors (27492200928).

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

12765524832 is an equidigital number, since it uses as much as digits as its factorization.

12765524832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 454 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 12765524832 in words is "twelve billion, seven hundred sixty-five million, five hundred twenty-four thousand, eight hundred thirty-two".