12755828736 has 384 divisors, whose sum is σ = 43511045760. Its totient is φ = 3524788224.

The previous prime is 12755828731. The next prime is 12755828749. The reversal of 12755828736 is 63782855721.

12755828736 is a `hidden beast` number, since 1 + 2 + 7 + 558 + 2 + 87 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×12755828736² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12755828731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76382125 + ... + 76382291.

It is an arithmetic number, because the mean of its divisors is an integer number (113310015).

Almost surely, 2^12755828736 is an apocalyptic number.

12755828736 is a gapful number since it is divisible by the number (16) 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 12755828736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21755522880).

12755828736 is an abundant number, since it is smaller than the sum of its proper divisors (30755217024).

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

12755828736 is an equidigital number, since it uses as much as digits as its factorization.

12755828736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 216 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 12755828736 in words is "twelve billion, seven hundred fifty-five million, eight hundred twenty-eight thousand, seven hundred thirty-six".