12728467525761 has 48 divisors (see below), whose sum is σ = 20358498560400. Its totient is φ = 7614606445056.

The previous prime is 12728467525727. The next prime is 12728467525853. The reversal of 12728467525761 is 16752576482721.

12728467525761 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 8 + 4 + 6 + 7 + 52 + 576 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 550740610161 + 12177726915600 = 742119^2 + 3489660^2 .

It is not a de Polignac number, because 12728467525761 - 2¹¹ = 12728467523713 is a prime.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12728467515761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8739906 + ... + 10091723.

It is an arithmetic number, because the mean of its divisors is an integer number (424135386675).

Almost surely, 2^{12728467525761} is an apocalyptic number.

It is an amenable number.

12728467525761 is a deficient number, since it is larger than the sum of its proper divisors (7630031034639).

12728467525761 is a wasteful number, since it uses less digits than its factorization.

12728467525761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18831810 (or 18831807 counting only the distinct ones).

The product of its digits is 79027200, while the sum is 63.

The spelling of 12728467525761 in words is "twelve trillion, seven hundred twenty-eight billion, four hundred sixty-seven million, five hundred twenty-five thousand, seven hundred sixty-one".