6058680500 has 60 divisors (see below), whose sum is σ = 13460298852. Its totient is φ = 2382396400.

The previous prime is 6058680469. The next prime is 6058680503. The reversal of 6058680500 is 50868506.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 193877776 + 5864802724 = 13924^2 + 76582^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6058680503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102689471 + ... + 102689529.

Almost surely, 2^6058680500 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 6058680500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6730149426).

6058680500 is an abundant number, since it is smaller than the sum of its proper divisors (7401618352).

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

6058680500 is an frugal number, since it uses more digits than its factorization.

6058680500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 6058680500 is about 77837.5262967677. The cubic root of 6058680500 is about 1823.0252487304.

The spelling of 6058680500 in words is "six billion, fifty-eight million, six hundred eighty thousand, five hundred".