58936352768 has 56 divisors (see below), whose sum is σ = 120090273408. Its totient is φ = 28911960064.

The previous prime is 58936352767. The next prime is 58936352773. The reversal of 58936352768 is 86725363985.

It is a self number, because there is not a number n which added to its sum of digits gives 58936352768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58936352767) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 366305 + ... + 502047.

It is an arithmetic number, because the mean of its divisors is an integer number (2144469168).

Almost surely, 2^58936352768 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 58936352768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60045136704).

58936352768 is an abundant number, since it is smaller than the sum of its proper divisors (61153920640).

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

58936352768 is an equidigital number, since it uses as much as digits as its factorization.

58936352768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135822 (or 135798 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 62.

The spelling of 58936352768 in words is "fifty-eight billion, nine hundred thirty-six million, three hundred fifty-two thousand, seven hundred sixty-eight".