320172521507712 has 384 divisors, whose sum is σ = 982565535369600. Its totient is φ = 99890370478080.

The previous prime is 320172521507689. The next prime is 320172521507719. The reversal of 320172521507712 is 217705125271023.

320172521507712 is a `hidden beast` number, since 3 + 2 + 0 + 1 + 7 + 2 + 521 + 50 + 7 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320172521507719) 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, 214302873 + ... + 215791719.

It is an arithmetic number, because the mean of its divisors is an integer number (2558764415025).

Almost surely, 2^{320172521507712} is an apocalyptic number.

320172521507712 is a gapful number since it is divisible by the number (32) 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 320172521507712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491282767684800).

320172521507712 is an abundant number, since it is smaller than the sum of its proper divisors (662393013861888).

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

320172521507712 is a wasteful number, since it uses less digits than its factorization.

320172521507712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489094 (or 1489079 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

Adding to 320172521507712 its reverse (217705125271023), we get a palindrome (537877646778735).

The spelling of 320172521507712 in words is "three hundred twenty trillion, one hundred seventy-two billion, five hundred twenty-one million, five hundred seven thousand, seven hundred twelve".