12728081760 has 96 divisors (see below), whose sum is σ = 42203669760. Its totient is φ = 3215513088.

The previous prime is 12728081753. The next prime is 12728081767. The reversal of 12728081760 is 6718082721.

It is an interprime number because it is at equal distance from previous prime (12728081753) and next prime (12728081767).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12728081767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688692 + ... + 706931.

It is an arithmetic number, because the mean of its divisors is an integer number (439621560).

Almost surely, 2^12728081760 is an apocalyptic number.

12728081760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12728081760 is an abundant number, since it is smaller than the sum of its proper divisors (29475588000).

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

12728081760 is a wasteful number, since it uses less digits than its factorization.

12728081760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395660 (or 1395652 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The spelling of 12728081760 in words is "twelve billion, seven hundred twenty-eight million, eighty-one thousand, seven hundred sixty".