320066552005200 has 2880 divisors, whose sum is σ = 1581482353651200. Its totient is φ = 57690803404800.

The previous prime is 320066552005163. The next prime is 320066552005201. The reversal of 320066552005200 is 2500255660023.

320066552005200 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 66 + 55 + 20 + 0 + 520 + 0 = 666.

It is a super-2 number, since 2×320066552005200² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320066552005201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 43434187116 + ... + 43434194484.

It is an arithmetic number, because the mean of its divisors is an integer number (549125817240).

Almost surely, 2^{320066552005200} is an apocalyptic number.

320066552005200 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 320066552005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790741176825600).

320066552005200 is an abundant number, since it is smaller than the sum of its proper divisors (1261415801646000).

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

320066552005200 is a wasteful number, since it uses less digits than its factorization.

320066552005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8150 (or 8136 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 320066552005200 in words is "three hundred twenty trillion, sixty-six billion, five hundred fifty-two million, five thousand, two hundred".