195066403200 has 960 divisors, whose sum is σ = 765510081600. Its totient is φ = 48977602560.

The previous prime is 195066403199. The next prime is 195066403267. The reversal of 195066403200 is 2304660591.

It is a happy number.

195066403200 is a `hidden beast` number, since 1 + 9 + 5 + 0 + 6 + 640 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1196726319 + ... + 1196726481.

It is an arithmetic number, because the mean of its divisors is an integer number (797406335).

Almost surely, 2^195066403200 is an apocalyptic number.

195066403200 is a gapful number since it is divisible by the number (10) 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 195066403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382755040800).

195066403200 is an abundant number, since it is smaller than the sum of its proper divisors (570443678400).

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

195066403200 is an frugal number, since it uses more digits than its factorization.

195066403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 195066403200 in words is "one hundred ninety-five billion, sixty-six million, four hundred three thousand, two hundred".