12728461561725 has 96 divisors (see below), whose sum is σ = 26212846270464. Its totient is φ = 5306418374400.

The previous prime is 12728461561721. The next prime is 12728461561741. The reversal of 12728461561725 is 52716516482721.

It is not a de Polignac number, because 12728461561725 - 2² = 12728461561721 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12728461561721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10668321 + ... + 11801270.

It is an arithmetic number, because the mean of its divisors is an integer number (273050481984).

Almost surely, 2^{12728461561725} is an apocalyptic number.

12728461561725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12728461561725 is an abundant number, since it is smaller than the sum of its proper divisors (13484384708739).

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

12728461561725 is a wasteful number, since it uses less digits than its factorization.

12728461561725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22469707 (or 22469702 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 57.

The spelling of 12728461561725 in words is "twelve trillion, seven hundred twenty-eight billion, four hundred sixty-one million, five hundred sixty-one thousand, seven hundred twenty-five".