58359945216 has 192 divisors, whose sum is σ = 169434720000. Its totient is φ = 17792925696.

The previous prime is 58359945211. The next prime is 58359945221. The reversal of 58359945216 is 61254995385.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (58359945211) and next prime (58359945221).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×58359945216² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58359945211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3376725 + ... + 3393963.

It is an arithmetic number, because the mean of its divisors is an integer number (882472500).

Almost surely, 2^58359945216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58359945216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84717360000).

58359945216 is an abundant number, since it is smaller than the sum of its proper divisors (111074774784).

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

58359945216 is a wasteful number, since it uses less digits than its factorization.

58359945216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17312 (or 17292 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 57.

The spelling of 58359945216 in words is "fifty-eight billion, three hundred fifty-nine million, nine hundred forty-five thousand, two hundred sixteen".