195966200016 has 320 divisors, whose sum is σ = 586327472640. Its totient is φ = 62626037760.

The previous prime is 195966200011. The next prime is 195966200033. The reversal of 195966200016 is 610002669591.

It is a happy number.

195966200016 is a `hidden beast` number, since 1 + 9 + 5 + 9 + 6 + 620 + 0 + 0 + 16 = 666.

195966200016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195966200011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269554245 + ... + 269554971.

It is an arithmetic number, because the mean of its divisors is an integer number (1832273352).

Almost surely, 2^195966200016 is an apocalyptic number.

195966200016 is a gapful number since it is divisible by the number (16) 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 195966200016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293163736320).

195966200016 is an abundant number, since it is smaller than the sum of its proper divisors (390361272624).

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

195966200016 is a wasteful number, since it uses less digits than its factorization.

195966200016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 195966200016 in words is "one hundred ninety-five billion, nine hundred sixty-six million, two hundred thousand, sixteen".