16058659680 has 576 divisors, whose sum is σ = 68474585088. Its totient is φ = 3342090240.

The previous prime is 16058659679. The next prime is 16058659693. The reversal of 16058659680 is 8695685061.

It is a happy number.

16058659680 is a `hidden beast` number, since 1 + 6 + 0 + 586 + 59 + 6 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5310649 + ... + 5313671.

It is an arithmetic number, because the mean of its divisors is an integer number (118879488).

Almost surely, 2^16058659680 is an apocalyptic number.

16058659680 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 16058659680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34237292544).

16058659680 is an abundant number, since it is smaller than the sum of its proper divisors (52415925408).

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

16058659680 is a wasteful number, since it uses less digits than its factorization.

16058659680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3099 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 16058659680 in words is "sixteen billion, fifty-eight million, six hundred fifty-nine thousand, six hundred eighty".