320265216000 has 1344 divisors, whose sum is σ = 1275829401600. Its totient is φ = 76972032000.

The previous prime is 320265215999. The next prime is 320265216041. The reversal of 320265216000 is 612562023.

320265216000 is a `hidden beast` number, since 3 + 2 + 0 + 2 + 6 + 52 + 1 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5428223971 + ... + 5428224029.

Almost surely, 2^320265216000 is an apocalyptic number.

320265216000 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 320265216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637914700800).

320265216000 is an abundant number, since it is smaller than the sum of its proper divisors (955564185600).

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

320265216000 is a wasteful number, since it uses less digits than its factorization.

320265216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 320265216000 its reverse (612562023), we get a palindrome (320877778023).

The spelling of 320265216000 in words is "three hundred twenty billion, two hundred sixty-five million, two hundred sixteen thousand".