871130832075756 has 432 divisors, whose sum is σ = 2635434645086880. Its totient is φ = 241738695475200.

The previous prime is 871130832075727. The next prime is 871130832075773. The reversal of 871130832075756 is 657570238031178.

871130832075756 is a `hidden beast` number, since 8 + 7 + 1 + 1 + 30 + 8 + 3 + 20 + 7 + 575 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 871130832075693 and 871130832075702.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 96652700706 + ... + 96652709718.

Almost surely, 2^{871130832075756} 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 871130832075756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317717322543440).

871130832075756 is an abundant number, since it is smaller than the sum of its proper divisors (1764303813011124).

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

871130832075756 is a wasteful number, since it uses less digits than its factorization.

871130832075756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11534 (or 11522 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 871130832075756 in words is "eight hundred seventy-one trillion, one hundred thirty billion, eight hundred thirty-two million, seventy-five thousand, seven hundred fifty-six".