195132209506080 has 1728 divisors, whose sum is σ = 848389821592320. Its totient is φ = 37446296616960.

The previous prime is 195132209506061. The next prime is 195132209506093. The reversal of 195132209506080 is 80605902231591.

It is a happy number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 1898177242 + ... + 1898280038.

It is an arithmetic number, because the mean of its divisors is an integer number (490966331940).

Almost surely, 2^{195132209506080} is an apocalyptic number.

195132209506080 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 195132209506080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424194910796160).

195132209506080 is an abundant number, since it is smaller than the sum of its proper divisors (653257612086240).

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

195132209506080 is a wasteful number, since it uses less digits than its factorization.

195132209506080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102903 (or 102877 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The spelling of 195132209506080 in words is "one hundred ninety-five trillion, one hundred thirty-two billion, two hundred nine million, five hundred six thousand, eighty".