16856829220 has 96 divisors (see below), whose sum is σ = 44547148800. Its totient is φ = 5204922240.

The previous prime is 16856829211. The next prime is 16856829221. The reversal of 16856829220 is 2292865861.

It is a happy number.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (16856829221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113631 + ... + 215929.

It is an arithmetic number, because the mean of its divisors is an integer number (464032800).

Almost surely, 2^16856829220 is an apocalyptic number.

16856829220 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 16856829220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22273574400).

16856829220 is an abundant number, since it is smaller than the sum of its proper divisors (27690319580).

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

16856829220 is a wasteful number, since it uses less digits than its factorization.

16856829220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102433 (or 102431 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The spelling of 16856829220 in words is "sixteen billion, eight hundred fifty-six million, eight hundred twenty-nine thousand, two hundred twenty".