195945102000 has 320 divisors, whose sum is σ = 703589253120. Its totient is φ = 52127712000.

The previous prime is 195945101941. The next prime is 195945102043. The reversal of 195945102000 is 201549591.

195945102000 is a `hidden beast` number, since 19 + 594 + 51 + 0 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23917905 + ... + 23926095.

It is an arithmetic number, because the mean of its divisors is an integer number (2198716416).

Almost surely, 2^195945102000 is an apocalyptic number.

195945102000 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 195945102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351794626560).

195945102000 is an abundant number, since it is smaller than the sum of its proper divisors (507644151120).

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

195945102000 is a wasteful number, since it uses less digits than its factorization.

195945102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8666 (or 8644 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 195945102000 in words is "one hundred ninety-five billion, nine hundred forty-five million, one hundred two thousand".