195864522672 has 320 divisors, whose sum is σ = 660722155520. Its totient is φ = 48549860352.

The previous prime is 195864522649. The next prime is 195864522673. The reversal of 195864522672 is 276225468591.

It is a super-2 number, since 2×195864522672² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (195864522673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10530693 + ... + 10549275.

It is an arithmetic number, because the mean of its divisors is an integer number (2064756736).

Almost surely, 2^195864522672 is an apocalyptic number.

195864522672 is a gapful number since it is divisible by the number (12) 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 195864522672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330361077760).

195864522672 is an abundant number, since it is smaller than the sum of its proper divisors (464857632848).

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

195864522672 is a wasteful number, since it uses less digits than its factorization.

195864522672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18760 (or 18754 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 57.

The spelling of 195864522672 in words is "one hundred ninety-five billion, eight hundred sixty-four million, five hundred twenty-two thousand, six hundred seventy-two".