58017616416 has 48 divisors (see below), whose sum is σ = 169218050400. Its totient is φ = 19339205184.

The previous prime is 58017616289. The next prime is 58017616453. The reversal of 58017616416 is 61461671085.

58017616416 is a `hidden beast` number, since 5 + 8 + 0 + 17 + 616 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×58017616416² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 33574146 + ... + 33575873.

It is an arithmetic number, because the mean of its divisors is an integer number (3525376050).

Almost surely, 2^58017616416 is an apocalyptic number.

It is an amenable number.

58017616416 is an abundant number, since it is smaller than the sum of its proper divisors (111200433984).

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

58017616416 is a wasteful number, since it uses less digits than its factorization.

58017616416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67150038 (or 67150024 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 58017616416 in words is "fifty-eight billion, seventeen million, six hundred sixteen thousand, four hundred sixteen".