16830842889728 has 160 divisors (see below), whose sum is σ = 38851337980224. Its totient is φ = 7134775345152.

The previous prime is 16830842889727. The next prime is 16830842889797. The reversal of 16830842889728 is 82798824803861.

It is a hoax number, since the sum of its digits (74) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16830842889727) 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, 652522400 + ... + 652548192.

Almost surely, 2^{16830842889728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16830842889728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19425668990112).

16830842889728 is an abundant number, since it is smaller than the sum of its proper divisors (22020495090496).

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

16830842889728 is an equidigital number, since it uses as much as digits as its factorization.

16830842889728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27792 (or 27776 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 74.

The spelling of 16830842889728 in words is "sixteen trillion, eight hundred thirty billion, eight hundred forty-two million, eight hundred eighty-nine thousand, seven hundred twenty-eight".