871059245760 has 336 divisors, whose sum is σ = 3410561306880. Its totient is φ = 201984583680.

The previous prime is 871059245753. The next prime is 871059245977. The reversal of 871059245760 is 67542950178.

871059245760 is a `hidden beast` number, since 8 + 7 + 1 + 0 + 592 + 45 + 7 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 871059245697 and 871059245706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130911 + ... + 1326369.

It is an arithmetic number, because the mean of its divisors is an integer number (10150480080).

Almost surely, 2^871059245760 is an apocalyptic number.

871059245760 is a gapful number since it is divisible by the number (80) 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 871059245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705280653440).

871059245760 is an abundant number, since it is smaller than the sum of its proper divisors (2539502061120).

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

871059245760 is a wasteful number, since it uses less digits than its factorization.

871059245760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195516 (or 1195503 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 871059245760 in words is "eight hundred seventy-one billion, fifty-nine million, two hundred forty-five thousand, seven hundred sixty".