195823116072 has 72 divisors (see below), whose sum is σ = 548014546170. Its totient is φ = 63168724800.

The previous prime is 195823116061. The next prime is 195823116077. The reversal of 195823116072 is 270611328591.

195823116072 is a `hidden beast` number, since 1 + 9 + 5 + 8 + 2 + 31 + 1 + 607 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 148383662436 + 47439453636 = 385206^2 + 217806^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (195823116077) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1345879 + ... + 1484262.

Almost surely, 2^195823116072 is an apocalyptic number.

195823116072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

195823116072 is an abundant number, since it is smaller than the sum of its proper divisors (352191430098).

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

195823116072 is a wasteful number, since it uses less digits than its factorization.

195823116072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830215 (or 2830177 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 195823116072 in words is "one hundred ninety-five billion, eight hundred twenty-three million, one hundred sixteen thousand, seventy-two".