12735968256 has 528 divisors, whose sum is σ = 42863197440. Its totient is φ = 3777269760.

The previous prime is 12735968243. The next prime is 12735968281. The reversal of 12735968256 is 65286953721.

12735968256 is a `hidden beast` number, since 1 + 27 + 3 + 596 + 8 + 25 + 6 = 666.

12735968256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5443200) is a multiple of the sum of its prime divisors (63).

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 47 ways as a sum of consecutive naturals, for example, 270978025 + ... + 270978071.

Almost surely, 2^12735968256 is an apocalyptic number.

12735968256 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 12735968256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21431598720).

12735968256 is an abundant number, since it is smaller than the sum of its proper divisors (30127229184).

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

12735968256 is an frugal number, since it uses more digits than its factorization.

12735968256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 63 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 12735968256 in words is "twelve billion, seven hundred thirty-five million, nine hundred sixty-eight thousand, two hundred fifty-six".