58005905900 has 72 divisors (see below), whose sum is σ = 127412157600. Its totient is φ = 22919680000.

The previous prime is 58005905899. The next prime is 58005905911. The reversal of 58005905900 is 950950085.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4528505 + ... + 4541295.

It is an arithmetic number, because the mean of its divisors is an integer number (1769613300).

Almost surely, 2^58005905900 is an apocalyptic number.

58005905900 is a gapful number since it is divisible by the number (50) 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 58005905900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63706078800).

58005905900 is an abundant number, since it is smaller than the sum of its proper divisors (69406251700).

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

58005905900 is a wasteful number, since it uses less digits than its factorization.

58005905900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13355 (or 13348 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 41.

The spelling of 58005905900 in words is "fifty-eight billion, five million, nine hundred five thousand, nine hundred".