195145404800 has 96 divisors (see below), whose sum is σ = 482390166720. Its totient is φ = 78006343680.

The previous prime is 195145404793. The next prime is 195145404833. The reversal of 195145404800 is 8404541591.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4994942 + ... + 5033858.

It is an arithmetic number, because the mean of its divisors is an integer number (5024897570).

Almost surely, 2^195145404800 is an apocalyptic number.

195145404800 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 195145404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241195083360).

195145404800 is an abundant number, since it is smaller than the sum of its proper divisors (287244761920).

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

195145404800 is a wasteful number, since it uses less digits than its factorization.

195145404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40508 (or 40491 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 41.

The spelling of 195145404800 in words is "one hundred ninety-five billion, one hundred forty-five million, four hundred four thousand, eight hundred".