58085828600 has 24 divisors (see below), whose sum is σ = 135049551960. Its totient is φ = 23234331360.

The previous prime is 58085828573. The next prime is 58085828609. The reversal of 58085828600 is 682858085.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58085828609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145214372 + ... + 145214771.

It is an arithmetic number, because the mean of its divisors is an integer number (5627064665).

Almost surely, 2^58085828600 is an apocalyptic number.

58085828600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

58085828600 is an abundant number, since it is smaller than the sum of its proper divisors (76963723360).

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

58085828600 is a wasteful number, since it uses less digits than its factorization.

58085828600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290429159 (or 290429150 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 50.

The spelling of 58085828600 in words is "fifty-eight billion, eighty-five million, eight hundred twenty-eight thousand, six hundred".