871126522080 has 384 divisors, whose sum is σ = 2910413721600. Its totient is φ = 218409467904.

The previous prime is 871126522051. The next prime is 871126522093. The reversal of 871126522080 is 80225621178.

It is a super-2 number, since 2×871126522080² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1132803936 + ... + 1132804704.

It is an arithmetic number, because the mean of its divisors is an integer number (7579202400).

Almost surely, 2^871126522080 is an apocalyptic number.

871126522080 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 871126522080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455206860800).

871126522080 is an abundant number, since it is smaller than the sum of its proper divisors (2039287199520).

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

871126522080 is a wasteful number, since it uses less digits than its factorization.

871126522080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 871126522080 in words is "eight hundred seventy-one billion, one hundred twenty-six million, five hundred twenty-two thousand, eighty".