195250944000 has 384 divisors, whose sum is σ = 742462156800. Its totient is φ = 44627558400.

The previous prime is 195250943989. The next prime is 195250944061. The reversal of 195250944000 is 449052591.

195250944000 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 (384).

It is a super-2 number, since 2×195250944000² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 195250944000.

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 31 ways as a sum of consecutive naturals, for example, 5357841 + ... + 5394159.

It is an arithmetic number, because the mean of its divisors is an integer number (1933495200).

Almost surely, 2^195250944000 is an apocalyptic number.

195250944000 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 195250944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371231078400).

195250944000 is an abundant number, since it is smaller than the sum of its proper divisors (547211212800).

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

195250944000 is an equidigital number, since it uses as much as digits as its factorization.

195250944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36366 (or 36336 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

Adding to 195250944000 its reverse (449052591), we get a palindrome (195699996591).

The spelling of 195250944000 in words is "one hundred ninety-five billion, two hundred fifty million, nine hundred forty-four thousand".