871059530170368 has 1200 divisors, whose sum is σ = 3332185693799424. Its totient is φ = 220133429084160.

The previous prime is 871059530170351. The next prime is 871059530170369. The reversal of 871059530170368 is 863071035950178.

871059530170368 is a `hidden beast` number, since 8 + 7 + 1 + 0 + 59 + 53 + 0 + 170 + 368 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871059530170369) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3780804105 + ... + 3781034487.

Almost surely, 2^{871059530170368} is an apocalyptic number.

871059530170368 is a gapful number since it is divisible by the number (88) 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 871059530170368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666092846899712).

871059530170368 is an abundant number, since it is smaller than the sum of its proper divisors (2461126163629056).

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

871059530170368 is a wasteful number, since it uses less digits than its factorization.

871059530170368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230478 (or 230443 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 871059530170368 in words is "eight hundred seventy-one trillion, fifty-nine billion, five hundred thirty million, one hundred seventy thousand, three hundred sixty-eight".