871319787520 has 864 divisors, whose sum is σ = 2725745677200. Its totient is φ = 264943042560.

The previous prime is 871319787517. The next prime is 871319787607. The reversal of 871319787520 is 25787913178.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6268487611 + ... + 6268487749.

Almost surely, 2^871319787520 is an apocalyptic number.

871319787520 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 871319787520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362872838600).

871319787520 is an abundant number, since it is smaller than the sum of its proper divisors (1854425889680).

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

871319787520 is a wasteful number, since it uses less digits than its factorization.

871319787520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 58.

The spelling of 871319787520 in words is "eight hundred seventy-one billion, three hundred nineteen million, seven hundred eighty-seven thousand, five hundred twenty".