5585805300 has 144 divisors (see below), whose sum is σ = 16903918080. Its totient is φ = 1421439360.

The previous prime is 5585805299. The next prime is 5585805301. The reversal of 5585805300 is 35085855.

5585805300 = 15573² + 15574² + ... + 15595².

It is an interprime number because it is at equal distance from previous prime (5585805299) and next prime (5585805301).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5585805301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4436071 + ... + 4437329.

It is an arithmetic number, because the mean of its divisors is an integer number (117388320).

Almost surely, 2^5585805300 is an apocalyptic number.

5585805300 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 5585805300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8451959040).

5585805300 is an abundant number, since it is smaller than the sum of its proper divisors (11318112780).

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

5585805300 is a wasteful number, since it uses less digits than its factorization.

5585805300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 39.

The square root of 5585805300 is about 74738.2452296012. The cubic root of 5585805300 is about 1774.3063136086.

The spelling of 5585805300 in words is "five billion, five hundred eighty-five million, eight hundred five thousand, three hundred".