871734674160 has 240 divisors, whose sum is σ = 3453730375680. Its totient is φ = 192826068480.

The previous prime is 871734674149. The next prime is 871734674177. The reversal of 871734674160 is 61476437178.

It is a happy number.

871734674160 is a `hidden beast` number, since 8 + 7 + 17 + 3 + 467 + 4 + 160 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 871734674097 and 871734674106.

It is a congruent number.

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, 2633490 + ... + 2945969.

It is an arithmetic number, because the mean of its divisors is an integer number (14390543232).

Almost surely, 2^871734674160 is an apocalyptic number.

871734674160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

871734674160 is an abundant number, since it is smaller than the sum of its proper divisors (2581995701520).

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

871734674160 is a wasteful number, since it uses less digits than its factorization.

871734674160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5579516 (or 5579507 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 871734674160 in words is "eight hundred seventy-one billion, seven hundred thirty-four million, six hundred seventy-four thousand, one hundred sixty".