195234668374200 has 1536 divisors, whose sum is σ = 811052089344000. Its totient is φ = 37688144486400.

The previous prime is 195234668374199. The next prime is 195234668374237. The reversal of 195234668374200 is 2473866432591.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16369128637 + ... + 16369140563.

It is an arithmetic number, because the mean of its divisors is an integer number (528028704000).

It is a 1-persistent number, because it is pandigital, but 2⋅195234668374200 = 390469336748400 is not.

Almost surely, 2^{195234668374200} is an apocalyptic number.

195234668374200 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 195234668374200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405526044672000).

195234668374200 is an abundant number, since it is smaller than the sum of its proper divisors (615817420969800).

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

195234668374200 is a wasteful number, since it uses less digits than its factorization.

195234668374200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12525 (or 12516 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 195234668374200 in words is "one hundred ninety-five trillion, two hundred thirty-four billion, six hundred sixty-eight million, three hundred seventy-four thousand, two hundred".