58130085888 has 384 divisors, whose sum is σ = 199390464000. Its totient is φ = 16389734400.

The previous prime is 58130085883. The next prime is 58130085929. The reversal of 58130085888 is 88858003185.

58130085888 is a `hidden beast` number, since 58 + 1 + 3 + 0 + 0 + 8 + 588 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58130085883) 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 31 ways as a sum of consecutive naturals, for example, 30577738 + ... + 30579638.

It is an arithmetic number, because the mean of its divisors is an integer number (519246000).

Almost surely, 2^58130085888 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 58130085888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99695232000).

58130085888 is an abundant number, since it is smaller than the sum of its proper divisors (141260378112).

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

58130085888 is a wasteful number, since it uses less digits than its factorization.

58130085888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 54.

The spelling of 58130085888 in words is "fifty-eight billion, one hundred thirty million, eighty-five thousand, eight hundred eighty-eight".