871359112260 has 1152 divisors, whose sum is σ = 3550534041600. Its totient is φ = 167993118720.

The previous prime is 871359112237. The next prime is 871359112297. The reversal of 871359112260 is 62211953178.

871359112260 is a `hidden beast` number, since 8 + 71 + 359 + 1 + 1 + 226 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 692103511 + ... + 692104769.

It is an arithmetic number, because the mean of its divisors is an integer number (3082060800).

Almost surely, 2^871359112260 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 871359112260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775267020800).

871359112260 is an abundant number, since it is smaller than the sum of its proper divisors (2679174929340).

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

871359112260 is a wasteful number, since it uses less digits than its factorization.

871359112260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 871359112260 in words is "eight hundred seventy-one billion, three hundred fifty-nine million, one hundred twelve thousand, two hundred sixty".