195801217920 has 2048 divisors, whose sum is σ = 920479334400. Its totient is φ = 38154240000.

The previous prime is 195801217907. The next prime is 195801217981. The reversal of 195801217920 is 29712108591.

195801217920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 255 ways as a sum of consecutive naturals, for example, 1938625870 + ... + 1938625970.

It is an arithmetic number, because the mean of its divisors is an integer number (449452800).

Almost surely, 2^195801217920 is an apocalyptic number.

195801217920 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 195801217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460239667200).

195801217920 is an abundant number, since it is smaller than the sum of its proper divisors (724678116480).

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

195801217920 is a wasteful number, since it uses less digits than its factorization.

195801217920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 195801217920 in words is "one hundred ninety-five billion, eight hundred one million, two hundred seventeen thousand, nine hundred twenty".