16586216080 has 160 divisors (see below), whose sum is σ = 44680711680. Its totient is φ = 5608673280.

The previous prime is 16586216077. The next prime is 16586216089. The reversal of 16586216080 is 8061268561.

16586216080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (16586216089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17151757 + ... + 17152723.

It is an arithmetic number, because the mean of its divisors is an integer number (279254448).

Almost surely, 2^16586216080 is an apocalyptic number.

16586216080 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 16586216080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22340355840).

16586216080 is an abundant number, since it is smaller than the sum of its proper divisors (28094495600).

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

16586216080 is a wasteful number, since it uses less digits than its factorization.

16586216080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 16586216080 in words is "sixteen billion, five hundred eighty-six million, two hundred sixteen thousand, eighty".