871185253968 has 240 divisors, whose sum is σ = 2666802012160. Its totient is φ = 264469536000.

The previous prime is 871185253933. The next prime is 871185253993. The reversal of 871185253968 is 869352581178.

871185253968 is a `hidden beast` number, since 8 + 7 + 1 + 18 + 525 + 3 + 96 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12773205 + ... + 12841227.

Almost surely, 2^871185253968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871185253968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333401006080).

871185253968 is an abundant number, since it is smaller than the sum of its proper divisors (1795616758192).

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

871185253968 is a wasteful number, since it uses less digits than its factorization.

871185253968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68238 (or 68229 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 63.

The spelling of 871185253968 in words is "eight hundred seventy-one billion, one hundred eighty-five million, two hundred fifty-three thousand, nine hundred sixty-eight".