12728335785984 has 840 divisors, whose sum is σ = 46201928055192. Its totient is φ = 3356316794880.

The previous prime is 12728335785983. The next prime is 12728335786003. The reversal of 12728335785984 is 48958753382721.

It is a happy number.

12728335785984 is a `hidden beast` number, since 1 + 2 + 7 + 28 + 3 + 3 + 5 + 7 + 8 + 598 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12728335785983) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2301269299 + ... + 2301274829.

Almost surely, 2^{12728335785984} is an apocalyptic number.

12728335785984 is a gapful number since it is divisible by the number (14) 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 12728335785984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23100964027596).

12728335785984 is an abundant number, since it is smaller than the sum of its proper divisors (33473592269208).

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

12728335785984 is an frugal number, since it uses more digits than its factorization.

12728335785984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5604 (or 5556 counting only the distinct ones).

The product of its digits is 812851200, while the sum is 72.

The spelling of 12728335785984 in words is "twelve trillion, seven hundred twenty-eight billion, three hundred thirty-five million, seven hundred eighty-five thousand, nine hundred eighty-four".