12728584721088 has 280 divisors, whose sum is σ = 38049183744000. Its totient is φ = 4207176433152.

The previous prime is 12728584721071. The next prime is 12728584721089. The reversal of 12728584721088 is 88012748582721.

It is a happy number.

12728584721088 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 8 + 58 + 472 + 108 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (12728584721089) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1579420803 + ... + 1579428861.

Almost surely, 2^{12728584721088} is an apocalyptic number.

12728584721088 is a gapful number since it is divisible by the number (18) 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 12728584721088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19024591872000).

12728584721088 is an abundant number, since it is smaller than the sum of its proper divisors (25320599022912).

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

12728584721088 is a wasteful number, since it uses less digits than its factorization.

12728584721088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10609 (or 10590 counting only the distinct ones).

The product of its (nonzero) digits is 32112640, while the sum is 63.

The spelling of 12728584721088 in words is "twelve trillion, seven hundred twenty-eight billion, five hundred eighty-four million, seven hundred twenty-one thousand, eighty-eight".