195901663271040 has 768 divisors, whose sum is σ = 714500250497280. Its totient is φ = 49362939445248.

The previous prime is 195901663270919. The next prime is 195901663271047. The reversal of 195901663271040 is 40172366109591.

195901663271040 is a `hidden beast` number, since 1 + 9 + 59 + 0 + 166 + 327 + 104 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (195901663271047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3598262059 + ... + 3598316501.

It is an arithmetic number, because the mean of its divisors is an integer number (930338867835).

Almost surely, 2^{195901663271040} is an apocalyptic number.

195901663271040 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 195901663271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357250125248640).

195901663271040 is an abundant number, since it is smaller than the sum of its proper divisors (518598587226240).

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

195901663271040 is a wasteful number, since it uses less digits than its factorization.

195901663271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54821 (or 54806 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 195901663271040 in words is "one hundred ninety-five trillion, nine hundred one billion, six hundred sixty-three million, two hundred seventy-one thousand, forty".