195680365056000 has 1248 divisors, whose sum is σ = 798041583271296. Its totient is φ = 47437332480000.

The previous prime is 195680365055977. The next prime is 195680365056017. The reversal of 195680365056000 is 650563086591.

It is a happy number.

195680365056000 is a `hidden beast` number, since 1 + 9 + 56 + 80 + 3 + 6 + 505 + 6 + 0 + 0 + 0 = 666.

195680365056000 is digitally balanced in base 3, 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 (54).

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 95 ways as a sum of consecutive naturals, for example, 1368504510 + ... + 1368647490.

It is an arithmetic number, because the mean of its divisors is an integer number (639456396852).

Almost surely, 2^{195680365056000} is an apocalyptic number.

195680365056000 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 195680365056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399020791635648).

195680365056000 is an abundant number, since it is smaller than the sum of its proper divisors (602361218215296).

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

195680365056000 is an equidigital number, since it uses as much as digits as its factorization.

195680365056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143046 (or 143002 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 195680365056000 in words is "one hundred ninety-five trillion, six hundred eighty billion, three hundred sixty-five million, fifty-six thousand".