16680029184 has 264 divisors, whose sum is σ = 59280792480. Its totient is φ = 4398907392.

The previous prime is 16680029141. The next prime is 16680029189. The reversal of 16680029184 is 48192008661.

It is not an unprimeable number, because it can be changed into a prime (16680029189) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 828712 + ... + 848600.

Almost surely, 2^16680029184 is an apocalyptic number.

16680029184 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 16680029184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29640396240).

16680029184 is an abundant number, since it is smaller than the sum of its proper divisors (42600763296).

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

16680029184 is a wasteful number, since it uses less digits than its factorization.

16680029184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19935 (or 19914 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 16680029184 in words is "sixteen billion, six hundred eighty million, twenty-nine thousand, one hundred eighty-four".