84171873296160 has 288 divisors, whose sum is σ = 327527614093680. Its totient is φ = 19500452020224.

The previous prime is 84171873296141. The next prime is 84171873296207. The reversal of 84171873296160 is 6169237817148.

84171873296160 is a `hidden beast` number, since 8 + 4 + 1 + 7 + 1 + 8 + 7 + 3 + 2 + 9 + 616 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16599724924176 + 67572148371984 = 4074276^2 + 8220228^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131927665 + ... + 132564144.

Almost surely, 2^{84171873296160} is an apocalyptic number.

84171873296160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84171873296160 is an abundant number, since it is smaller than the sum of its proper divisors (243355740797520).

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

84171873296160 is a wasteful number, since it uses less digits than its factorization.

84171873296160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264491860 (or 264491849 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 84171873296160 in words is "eighty-four trillion, one hundred seventy-one billion, eight hundred seventy-three million, two hundred ninety-six thousand, one hundred sixty".