195378220800 has 1296 divisors, whose sum is σ = 840285718272. Its totient is φ = 43993497600.

The previous prime is 195378220799. The next prime is 195378220837. The reversal of 195378220800 is 8022873591.

It is a happy number.

195378220800 is a `hidden beast` number, since 19 + 537 + 8 + 2 + 20 + 80 + 0 = 666.

195378220800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1426118332 + ... + 1426118468.

Almost surely, 2^195378220800 is an apocalyptic number.

195378220800 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 195378220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420142859136).

195378220800 is an abundant number, since it is smaller than the sum of its proper divisors (644907497472).

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

195378220800 is a wasteful number, since it uses less digits than its factorization.

195378220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 195378220800 in words is "one hundred ninety-five billion, three hundred seventy-eight million, two hundred twenty thousand, eight hundred".