195955200 has 480 divisors, whose sum is σ = 832149120. Its totient is φ = 44789760.

The previous prime is 195955187. The next prime is 195955213. The reversal of 195955200 is 2559591.

195955200 is a `hidden beast` number, since 19 + 595 + 52 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (195955187) and next prime (195955213).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 900 × 252 × 864.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27993597 + ... + 27993603.

It is an arithmetic number, because the mean of its divisors is an integer number (1733644).

Almost surely, 2^195955200 is an apocalyptic number.

195955200 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 195955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416074560).

195955200 is an abundant number, since it is smaller than the sum of its proper divisors (636193920).

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

195955200 is an frugal number, since it uses more digits than its factorization.

195955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 36.

The square root of 195955200 is about 13998.3999085610. The cubic root of 195955200 is about 580.8343125688.

The spelling of 195955200 in words is "one hundred ninety-five million, nine hundred fifty-five thousand, two hundred".