871511768820 has 384 divisors, whose sum is σ = 3382297067520. Its totient is φ = 180992240640.

The previous prime is 871511768789. The next prime is 871511768863. The reversal of 871511768820 is 28867115178.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91762312 + ... + 91771808.

It is an arithmetic number, because the mean of its divisors is an integer number (8808065280).

Almost surely, 2^871511768820 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 871511768820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691148533760).

871511768820 is an abundant number, since it is smaller than the sum of its proper divisors (2510785298700).

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

871511768820 is a wasteful number, since it uses less digits than its factorization.

871511768820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11740 (or 11732 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 54.

The spelling of 871511768820 in words is "eight hundred seventy-one billion, five hundred eleven million, seven hundred sixty-eight thousand, eight hundred twenty".