320540205300 has 144 divisors (see below), whose sum is σ = 1060173727872. Its totient is φ = 73248768000.

The previous prime is 320540205289. The next prime is 320540205311. The reversal of 320540205300 is 3502045023.

It is an interprime number because it is at equal distance from previous prime (320540205289) and next prime (320540205311).

It is a super-2 number, since 2×320540205300² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 10066204 + ... + 10097996.

Almost surely, 2^320540205300 is an apocalyptic number.

320540205300 is a gapful number since it is divisible by the number (30) 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 320540205300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530086863936).

320540205300 is an abundant number, since it is smaller than the sum of its proper divisors (739633522572).

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

320540205300 is a wasteful number, since it uses less digits than its factorization.

320540205300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36618 (or 36611 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The spelling of 320540205300 in words is "three hundred twenty billion, five hundred forty million, two hundred five thousand, three hundred".