195916271616 has 832 divisors, whose sum is σ = 669329203200. Its totient is φ = 56184274944.

The previous prime is 195916271561. The next prime is 195916271627. The reversal of 195916271616 is 616172619591.

195916271616 is a `hidden beast` number, since 1 + 9 + 5 + 9 + 1 + 627 + 1 + 6 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 1542647745 + ... + 1542647871.

Almost surely, 2^195916271616 is an apocalyptic number.

195916271616 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 195916271616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334664601600).

195916271616 is an abundant number, since it is smaller than the sum of its proper divisors (473412931584).

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

195916271616 is a wasteful number, since it uses less digits than its factorization.

195916271616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 211 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 54.

The spelling of 195916271616 in words is "one hundred ninety-five billion, nine hundred sixteen million, two hundred seventy-one thousand, six hundred sixteen".