195609085056 has 1920 divisors, whose sum is σ = 820555401600. Its totient is φ = 45519667200.

The previous prime is 195609085043. The next prime is 195609085123. The reversal of 195609085056 is 650580906591.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 195609084993 and 195609085011.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2755057501 + ... + 2755057571.

It is an arithmetic number, because the mean of its divisors is an integer number (427372605).

Almost surely, 2^195609085056 is an apocalyptic number.

195609085056 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 195609085056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410277700800).

195609085056 is an abundant number, since it is smaller than the sum of its proper divisors (624946316544).

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

195609085056 is a wasteful number, since it uses less digits than its factorization.

195609085056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The spelling of 195609085056 in words is "one hundred ninety-five billion, six hundred nine million, eighty-five thousand, fifty-six".