16680858120 has 160 divisors (see below), whose sum is σ = 56117781720. Its totient is φ = 4444139520.

The previous prime is 16680858079. The next prime is 16680858121. The reversal of 16680858120 is 2185808661.

16680858120 is a `hidden beast` number, since 1 + 6 + 68 + 0 + 8 + 581 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15998708196 + 682149924 = 126486^2 + 26118^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16680858121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5483800 + ... + 5486840.

Almost surely, 2^16680858120 is an apocalyptic number.

16680858120 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 16680858120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28058890860).

16680858120 is an abundant number, since it is smaller than the sum of its proper divisors (39436923600).

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

16680858120 is a wasteful number, since it uses less digits than its factorization.

16680858120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4757 (or 4744 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 16680858120 in words is "sixteen billion, six hundred eighty million, eight hundred fifty-eight thousand, one hundred twenty".