58255120 has 160 divisors (see below), whose sum is σ = 173203200. Its totient is φ = 18063360.

The previous prime is 58255117. The next prime is 58255151. The reversal of 58255120 is 2155285.

58255120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 301744 + ... + 301936.

It is an arithmetic number, because the mean of its divisors is an integer number (1082520).

Almost surely, 2^58255120 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 58255120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86601600).

58255120 is an abundant number, since it is smaller than the sum of its proper divisors (114948080).

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

58255120 is a wasteful number, since it uses less digits than its factorization.

58255120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The square root of 58255120 is about 7632.5041762190. The cubic root of 58255120 is about 387.6543845463.

The spelling of 58255120 in words is "fifty-eight million, two hundred fifty-five thousand, one hundred twenty".