16058917728 has 144 divisors (see below), whose sum is σ = 52505107200. Its totient is φ = 4560691968.

The previous prime is 16058917727. The next prime is 16058917733. The reversal of 16058917728 is 82771985061.

16058917728 is a `hidden beast` number, since 1 + 605 + 8 + 9 + 1 + 7 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16058917727) 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 23 ways as a sum of consecutive naturals, for example, 312823 + ... + 360521.

It is an arithmetic number, because the mean of its divisors is an integer number (364618800).

Almost surely, 2^16058917728 is an apocalyptic number.

16058917728 is a gapful number since it is divisible by the number (18) 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 16058917728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26252553600).

16058917728 is an abundant number, since it is smaller than the sum of its proper divisors (36446189472).

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

16058917728 is a wasteful number, since it uses less digits than its factorization.

16058917728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47889 (or 47878 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 16058917728 in words is "sixteen billion, fifty-eight million, nine hundred seventeen thousand, seven hundred twenty-eight".