195952813056 has 792 divisors, whose sum is σ = 765839884992. Its totient is φ = 46957363200.

The previous prime is 195952813039. The next prime is 195952813057. The reversal of 195952813056 is 650318259591.

195952813056 is a `hidden beast` number, since 1 + 9 + 59 + 5 + 281 + 305 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a junction number, because it is equal to n+sod(n) for n = 195952812993 and 195952813011.

It is not an unprimeable number, because it can be changed into a prime (195952813057) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 101476411 + ... + 101478341.

Almost surely, 2^195952813056 is an apocalyptic number.

195952813056 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 195952813056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382919942496).

195952813056 is an abundant number, since it is smaller than the sum of its proper divisors (569887071936).

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

195952813056 is a wasteful number, since it uses less digits than its factorization.

195952813056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1967 counting only the distinct ones).

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

The spelling of 195952813056 in words is "one hundred ninety-five billion, nine hundred fifty-two million, eight hundred thirteen thousand, fifty-six".