320223540561600 has 1344 divisors, whose sum is σ = 1167175184007168. Its totient is φ = 76362252288000.

The previous prime is 320223540561581. The next prime is 320223540561601. The reversal of 320223540561600 is 6165045322023.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (320223540561601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 275342682619 + ... + 275342683781.

It is an arithmetic number, because the mean of its divisors is an integer number (868433916672).

Almost surely, 2^{320223540561600} is an apocalyptic number.

320223540561600 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 320223540561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583587592003584).

320223540561600 is an abundant number, since it is smaller than the sum of its proper divisors (846951643445568).

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

320223540561600 is a wasteful number, since it uses less digits than its factorization.

320223540561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 320223540561600 its reverse (6165045322023), we get a palindrome (326388585883623).

The spelling of 320223540561600 in words is "three hundred twenty trillion, two hundred twenty-three billion, five hundred forty million, five hundred sixty-one thousand, six hundred".