195256440288 has 1296 divisors, whose sum is σ = 765451814400. Its totient is φ = 46872483840.

The previous prime is 195256440277. The next prime is 195256440299. The reversal of 195256440288 is 882044652591.

195256440288 is a `hidden beast` number, since 1 + 9 + 52 + 564 + 4 + 0 + 28 + 8 = 666.

195256440288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (195256440277) and next prime (195256440299).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1404722523 + ... + 1404722661.

It is an arithmetic number, because the mean of its divisors is an integer number (590626400).

Almost surely, 2^195256440288 is an apocalyptic number.

195256440288 is a gapful number since it is divisible by the number (18) 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 195256440288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382725907200).

195256440288 is an abundant number, since it is smaller than the sum of its proper divisors (570195374112).

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

195256440288 is a wasteful number, since it uses less digits than its factorization.

195256440288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 195256440288 in words is "one hundred ninety-five billion, two hundred fifty-six million, four hundred forty thousand, two hundred eighty-eight".