12719161728 has 960 divisors, whose sum is σ = 50411639520. Its totient is φ = 3105423360.

The previous prime is 12719161727. The next prime is 12719161751. The reversal of 12719161728 is 82716191721.

It is a happy number.

12719161728 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 9 + 1 + 617 + 28 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12719161727) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 208510818 + ... + 208510878.

Almost surely, 2^12719161728 is an apocalyptic number.

12719161728 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 12719161728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25205819760).

12719161728 is an abundant number, since it is smaller than the sum of its proper divisors (37692477792).

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

12719161728 is a wasteful number, since it uses less digits than its factorization.

12719161728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 103 counting only the distinct ones).

The product of its digits is 84672, while the sum is 45.

The spelling of 12719161728 in words is "twelve billion, seven hundred nineteen million, one hundred sixty-one thousand, seven hundred twenty-eight".