12749275728 has 480 divisors, whose sum is σ = 45385666560. Its totient is φ = 3257210880.

The previous prime is 12749275661. The next prime is 12749275733. The reversal of 12749275728 is 82757294721.

12749275728 is a `hidden beast` number, since 1 + 2 + 7 + 49 + 27 + 572 + 8 = 666.

12749275728 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 95 ways as a sum of consecutive naturals, for example, 45370948 + ... + 45371228.

It is an arithmetic number, because the mean of its divisors is an integer number (94553472).

Almost surely, 2^12749275728 is an apocalyptic number.

12749275728 is a gapful number since it is divisible by the number (18) 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 12749275728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22692833280).

12749275728 is an abundant number, since it is smaller than the sum of its proper divisors (32636390832).

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

12749275728 is a wasteful number, since it uses less digits than its factorization.

12749275728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 438 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The spelling of 12749275728 in words is "twelve billion, seven hundred forty-nine million, two hundred seventy-five thousand, seven hundred twenty-eight".