58733828064 has 144 divisors (see below), whose sum is σ = 173050834320. Its totient is φ = 18873630720.

The previous prime is 58733828063. The next prime is 58733828159. The reversal of 58733828064 is 46082833785.

58733828064 is a `hidden beast` number, since 587 + 3 + 38 + 28 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 58733828064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58733828063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5766144 + ... + 5776320.

It is an arithmetic number, because the mean of its divisors is an integer number (1201741905).

Almost surely, 2^58733828064 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 58733828064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86525417160).

58733828064 is an abundant number, since it is smaller than the sum of its proper divisors (114317006256).

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

58733828064 is a wasteful number, since it uses less digits than its factorization.

58733828064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10913 (or 10902 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 58733828064 in words is "fifty-eight billion, seven hundred thirty-three million, eight hundred twenty-eight thousand, sixty-four".