585314320100 has 144 divisors (see below), whose sum is σ = 1378117794816. Its totient is φ = 215136768000.

The previous prime is 585314320049. The next prime is 585314320109. The reversal of 585314320100 is 1023413585.

It is not an unprimeable number, because it can be changed into a prime (585314320109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9738140 + ... + 9798060.

It is an arithmetic number, because the mean of its divisors is an integer number (9570262464).

Almost surely, 2^585314320100 is an apocalyptic number.

585314320100 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 585314320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689058897408).

585314320100 is an abundant number, since it is smaller than the sum of its proper divisors (792803474716).

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

585314320100 is a wasteful number, since it uses less digits than its factorization.

585314320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60126 (or 60119 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 585314320100 its reverse (1023413585), we get a palindrome (586337733685).

The spelling of 585314320100 in words is "five hundred eighty-five billion, three hundred fourteen million, three hundred twenty thousand, one hundred".