195906127872 has 768 divisors, whose sum is σ = 676292198400. Its totient is φ = 49049763840.

The previous prime is 195906127853. The next prime is 195906127877. The reversal of 195906127872 is 278721609591.

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (195906127877) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1542567873 + ... + 1542567999.

It is an arithmetic number, because the mean of its divisors is an integer number (880588800).

Almost surely, 2^195906127872 is an apocalyptic number.

195906127872 is a gapful number since it is divisible by the number (12) 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 195906127872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338146099200).

195906127872 is an abundant number, since it is smaller than the sum of its proper divisors (480386070528).

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

195906127872 is a wasteful number, since it uses less digits than its factorization.

195906127872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 57.

The spelling of 195906127872 in words is "one hundred ninety-five billion, nine hundred six million, one hundred twenty-seven thousand, eight hundred seventy-two".