195625654752 has 384 divisors, whose sum is σ = 621036896256. Its totient is φ = 53222400000.

The previous prime is 195625654661. The next prime is 195625654793. The reversal of 195625654752 is 257456526591.

195625654752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 195625654692 and 195625654701.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 39509877 + ... + 39514827.

It is an arithmetic number, because the mean of its divisors is an integer number (1617283584).

Almost surely, 2^195625654752 is an apocalyptic number.

195625654752 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 195625654752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310518448128).

195625654752 is an abundant number, since it is smaller than the sum of its proper divisors (425411241504).

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

195625654752 is a wasteful number, since it uses less digits than its factorization.

195625654752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5094 (or 5086 counting only the distinct ones).

The product of its digits is 22680000, while the sum is 57.

The spelling of 195625654752 in words is "one hundred ninety-five billion, six hundred twenty-five million, six hundred fifty-four thousand, seven hundred fifty-two".