16871970821184 has 392 divisors, whose sum is σ = 52399397928960. Its totient is φ = 5381377689600.

The previous prime is 16871970821131. The next prime is 16871970821197. The reversal of 16871970821184 is 48112807917861.

16871970821184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 128658369 + ... + 128789439.

Almost surely, 2^{16871970821184} 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 16871970821184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26199698964480).

16871970821184 is an abundant number, since it is smaller than the sum of its proper divisors (35527427107776).

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

16871970821184 is an equidigital number, since it uses as much as digits as its factorization.

16871970821184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131221 (or 131196 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 63.

The spelling of 16871970821184 in words is "sixteen trillion, eight hundred seventy-one billion, nine hundred seventy million, eight hundred twenty-one thousand, one hundred eighty-four".