320162540521320 has 512 divisors, whose sum is σ = 1248322744627200. Its totient is φ = 71461449206784.

The previous prime is 320162540521301. The next prime is 320162540521333. The reversal of 320162540521320 is 23125045261023.

320162540521320 is a `hidden beast` number, since 3 + 2 + 0 + 1 + 62 + 5 + 40 + 521 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1418211174 + ... + 1418436906.

It is an arithmetic number, because the mean of its divisors is an integer number (2438130360600).

Almost surely, 2^{320162540521320} is an apocalyptic number.

320162540521320 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 320162540521320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624161372313600).

320162540521320 is an abundant number, since it is smaller than the sum of its proper divisors (928160204105880).

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

320162540521320 is a wasteful number, since it uses less digits than its factorization.

320162540521320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230166 (or 230156 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 320162540521320 its reverse (23125045261023), we get a palindrome (343287585782343).

The spelling of 320162540521320 in words is "three hundred twenty trillion, one hundred sixty-two billion, five hundred forty million, five hundred twenty-one thousand, three hundred twenty".