871218095328 has 192 divisors, whose sum is σ = 2907983877120. Its totient is φ = 248583154176.

The previous prime is 871218095327. The next prime is 871218095347. The reversal of 871218095328 is 823590812178.

871218095328 is a `hidden beast` number, since 8 + 7 + 1 + 21 + 80 + 9 + 532 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871218095327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4396726 + ... + 4590602.

It is an arithmetic number, because the mean of its divisors is an integer number (15145749360).

Almost surely, 2^871218095328 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 871218095328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453991938560).

871218095328 is an abundant number, since it is smaller than the sum of its proper divisors (2036765781792).

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

871218095328 is a wasteful number, since it uses less digits than its factorization.

871218095328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194646 (or 194632 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 871218095328 in words is "eight hundred seventy-one billion, two hundred eighteen million, ninety-five thousand, three hundred twenty-eight".