58608368712796 has 108 divisors (see below), whose sum is σ = 125928615077496. Its totient is φ = 23794224552000.

The previous prime is 58608368712781. The next prime is 58608368712847. The reversal of 58608368712796 is 69721786380685.

It is a Harshad number since it is a multiple of its sum of digits (76).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1970610486 + ... + 1970640226.

It is an arithmetic number, because the mean of its divisors is an integer number (1166005695162).

Almost surely, 2^{58608368712796} 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 58608368712796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62964307538748).

58608368712796 is an abundant number, since it is smaller than the sum of its proper divisors (67320246364700).

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

58608368712796 is a wasteful number, since it uses less digits than its factorization.

58608368712796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57648 (or 57620 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 76.

The spelling of 58608368712796 in words is "fifty-eight trillion, six hundred eight billion, three hundred sixty-eight million, seven hundred twelve thousand, seven hundred ninety-six".