195101145600 has 240 divisors, whose sum is σ = 645080983008. Its totient is φ = 51980451840.

The previous prime is 195101145587. The next prime is 195101145601. The reversal of 195101145600 is 6541101591.

195101145600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (195101145601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 76299522 + ... + 76302078.

Almost surely, 2^195101145600 is an apocalyptic number.

195101145600 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 195101145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322540491504).

195101145600 is an abundant number, since it is smaller than the sum of its proper divisors (449979837408).

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

195101145600 is a wasteful number, since it uses less digits than its factorization.

195101145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4575 (or 4554 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 33.

The spelling of 195101145600 in words is "one hundred ninety-five billion, one hundred one million, one hundred forty-five thousand, six hundred".