195700617216 has 416 divisors, whose sum is σ = 644669706240. Its totient is φ = 58259865600.

The previous prime is 195700617199. The next prime is 195700617223. The reversal of 195700617216 is 612716007591.

195700617216 is a `hidden beast` number, since 1 + 9 + 5 + 7 + 0 + 0 + 617 + 21 + 6 = 666.

195700617216 is digitally balanced in base 7, 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 (416).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 44566381 + ... + 44570771.

Almost surely, 2^195700617216 is an apocalyptic number.

195700617216 is a gapful number since it is divisible by the number (16) 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 195700617216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322334853120).

195700617216 is an abundant number, since it is smaller than the sum of its proper divisors (448969089024).

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

195700617216 is a wasteful number, since it uses less digits than its factorization.

195700617216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4468 (or 4440 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 195700617216 in words is "one hundred ninety-five billion, seven hundred million, six hundred seventeen thousand, two hundred sixteen".