16871208120 has 768 divisors, whose sum is σ = 65163571200. Its totient is φ = 3896709120.

The previous prime is 16871208091. The next prime is 16871208127. The reversal of 16871208120 is 2180217861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16871208127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 231112404 + ... + 231112476.

It is an arithmetic number, because the mean of its divisors is an integer number (84848400).

Almost surely, 2^16871208120 is an apocalyptic number.

16871208120 is a gapful number since it is divisible by the number (10) 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 16871208120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32581785600).

16871208120 is an abundant number, since it is smaller than the sum of its proper divisors (48292363080).

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

16871208120 is a wasteful number, since it uses less digits than its factorization.

16871208120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 16871208120 in words is "sixteen billion, eight hundred seventy-one million, two hundred eight thousand, one hundred twenty".