195952684032 has 352 divisors, whose sum is σ = 676787328000. Its totient is φ = 55983771648.

The previous prime is 195952683977. The next prime is 195952684049. The reversal of 195952684032 is 230486259591.

195952684032 is a `hidden beast` number, since 1 + 9 + 5 + 9 + 526 + 84 + 0 + 32 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 195952684032.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9472933 + ... + 9493595.

Almost surely, 2^195952684032 is an apocalyptic number.

195952684032 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 195952684032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338393664000).

195952684032 is an abundant number, since it is smaller than the sum of its proper divisors (480834643968).

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

195952684032 is an equidigital number, since it uses as much as digits as its factorization.

195952684032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20713 (or 20675 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 195952684032 in words is "one hundred ninety-five billion, nine hundred fifty-two million, six hundred eighty-four thousand, thirty-two".