195293286400 has 117 divisors (see below), whose sum is σ = 484619147103. Its totient is φ = 78060748800.

The previous prime is 195293286317. The next prime is 195293286401. The reversal of 195293286400 is 4682392591.

The square root of 195293286400 is 441920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6784487424 + 188508798976 = 82368^2 + 434176^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (195293286401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 141413710 + ... + 141415090.

Almost surely, 2^195293286400 is an apocalyptic number.

195293286400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

195293286400 is the 441920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195293286400

195293286400 is an abundant number, since it is smaller than the sum of its proper divisors (289325860703).

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

195293286400 is an frugal number, since it uses more digits than its factorization.

195293286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

Multiplying 195293286400 by its sum of digits (49), we get a square (9569371033600 = 3093440²).

The spelling of 195293286400 in words is "one hundred ninety-five billion, two hundred ninety-three million, two hundred eighty-six thousand, four hundred".