58005000800 has 36 divisors (see below), whose sum is σ = 141604710156. Its totient is φ = 23202000000.

The previous prime is 58005000793. The next prime is 58005000821. The reversal of 58005000800 is 800050085.

It is a self number, because there is not a number n which added to its sum of digits gives 58005000800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36252326 + ... + 36253925.

It is an arithmetic number, because the mean of its divisors is an integer number (3933464171).

Almost surely, 2^58005000800 is an apocalyptic number.

58005000800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

58005000800 is an abundant number, since it is smaller than the sum of its proper divisors (83599709356).

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

58005000800 is a wasteful number, since it uses less digits than its factorization.

58005000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72506271 (or 72506258 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 58005000800 its reverse (800050085), we get a palindrome (58805050885).

The spelling of 58005000800 in words is "fifty-eight billion, five million, eight hundred", and thus it is an aban number.