12728588160 has 256 divisors, whose sum is σ = 43147468800. Its totient is φ = 3180625920.

The previous prime is 12728588141. The next prime is 12728588179. The reversal of 12728588160 is 6188582721.

It is an interprime number because it is at equal distance from previous prime (12728588141) and next prime (12728588179).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8844721 + ... + 8846159.

It is an arithmetic number, because the mean of its divisors is an integer number (168544800).

Almost surely, 2^12728588160 is an apocalyptic number.

12728588160 is a gapful number since it is divisible by the number (10) 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 12728588160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21573734400).

12728588160 is an abundant number, since it is smaller than the sum of its proper divisors (30418880640).

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

12728588160 is a wasteful number, since it uses less digits than its factorization.

12728588160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 12728588160 in words is "twelve billion, seven hundred twenty-eight million, five hundred eighty-eight thousand, one hundred sixty".