58117717728 has 720 divisors, whose sum is σ = 212736585600. Its totient is φ = 15484815360.

The previous prime is 58117717663. The next prime is 58117717747. The reversal of 58117717728 is 82771771185.

It is a happy number.

58117717728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×58117717728² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 114179938 + ... + 114180446.

It is an arithmetic number, because the mean of its divisors is an integer number (295467480).

Almost surely, 2^58117717728 is an apocalyptic number.

58117717728 is a gapful number since it is divisible by the number (58) 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 58117717728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106368292800).

58117717728 is an abundant number, since it is smaller than the sum of its proper divisors (154618867872).

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

58117717728 is a wasteful number, since it uses less digits than its factorization.

58117717728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 581 counting only the distinct ones).

The product of its digits is 1536640, while the sum is 54.

The spelling of 58117717728 in words is "fifty-eight billion, one hundred seventeen million, seven hundred seventeen thousand, seven hundred twenty-eight".