195897048436800 has 672 divisors, whose sum is σ = 756246734432640. Its totient is φ = 49158350438400.

The previous prime is 195897048436729. The next prime is 195897048436801. The reversal of 195897048436800 is 8634840798591.

195897048436800 is a `hidden beast` number, since 1 + 9 + 5 + 8 + 9 + 70 + 48 + 436 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (195897048436801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5476402915 + ... + 5476438685.

Almost surely, 2^{195897048436800} is an apocalyptic number.

195897048436800 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 195897048436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378123367216320).

195897048436800 is an abundant number, since it is smaller than the sum of its proper divisors (560349685995840).

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

195897048436800 is a wasteful number, since it uses less digits than its factorization.

195897048436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43276 (or 43255 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 195897048436800 in words is "one hundred ninety-five trillion, eight hundred ninety-seven billion, forty-eight million, four hundred thirty-six thousand, eight hundred".