195006084560 has 160 divisors (see below), whose sum is σ = 521259494400. Its totient is φ = 66460262400.

The previous prime is 195006084521. The next prime is 195006084577. The reversal of 195006084560 is 65480600591.

195006084560 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 an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 108275660 + ... + 108277460.

It is an arithmetic number, because the mean of its divisors is an integer number (3257871840).

Almost surely, 2^195006084560 is an apocalyptic number.

195006084560 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 195006084560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260629747200).

195006084560 is an abundant number, since it is smaller than the sum of its proper divisors (326253409840).

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

195006084560 is a wasteful number, since it uses less digits than its factorization.

195006084560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The spelling of 195006084560 in words is "one hundred ninety-five billion, six million, eighty-four thousand, five hundred sixty".