195608125440 has 1680 divisors, whose sum is σ = 901989918648. Its totient is φ = 38843449344.

The previous prime is 195608125429. The next prime is 195608125571. The reversal of 195608125440 is 44521806591.

195608125440 is a `hidden beast` number, since 1 + 9 + 560 + 81 + 2 + 5 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 148786089984 + 46822035456 = 385728^2 + 216384^2 .

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11506360312 + ... + 11506360328.

Almost surely, 2^195608125440 is an apocalyptic number.

195608125440 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 195608125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450994959324).

195608125440 is an abundant number, since it is smaller than the sum of its proper divisors (706381793208).

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

195608125440 is an equidigital number, since it uses as much as digits as its factorization.

195608125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 195608125440 in words is "one hundred ninety-five billion, six hundred eight million, one hundred twenty-five thousand, four hundred forty".