320553200000000 has 1188 divisors, whose sum is σ = 909275335232040. Its totient is φ = 112780800000000.

The previous prime is 320553199999999. The next prime is 320553200000041. The reversal of 320553200000000 is 2355023.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1790799999911 + ... + 1790800000089.

Almost surely, 2^{320553200000000} 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 320553200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454637667616020).

320553200000000 is an abundant number, since it is smaller than the sum of its proper divisors (588722135232040).

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

320553200000000 is an frugal number, since it uses more digits than its factorization.

320553200000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

Adding to 320553200000000 its reverse (2355023), we get a palindrome (320553202355023).

The spelling of 320553200000000 in words is "three hundred twenty trillion, five hundred fifty-three billion, two hundred million", and thus it is an aban number.