871506060320 has 384 divisors, whose sum is σ = 2560936476672. Its totient is φ = 273715200000.

The previous prime is 871506060319. The next prime is 871506060329. The reversal of 871506060320 is 23060605178.

It is not an unprimeable number, because it can be changed into a prime (871506060329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77454695 + ... + 77465945.

It is an arithmetic number, because the mean of its divisors is an integer number (6669105408).

Almost surely, 2^871506060320 is an apocalyptic number.

871506060320 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 871506060320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280468238336).

871506060320 is an abundant number, since it is smaller than the sum of its proper divisors (1689430416352).

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

871506060320 is a wasteful number, since it uses less digits than its factorization.

871506060320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11424 (or 11416 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

Adding to 871506060320 its reverse (23060605178), we get a palindrome (894566665498).

The spelling of 871506060320 in words is "eight hundred seventy-one billion, five hundred six million, sixty thousand, three hundred twenty".