871735564534848 has 224 divisors, whose sum is σ = 2551133433582720. Its totient is φ = 260965327011840.

The previous prime is 871735564534847. The next prime is 871735564534853. The reversal of 871735564534848 is 848435465537178.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is not an unprimeable number, because it can be changed into a prime (871735564534847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2194177243 + ... + 2194574501.

It is an arithmetic number, because the mean of its divisors is an integer number (11388988542780).

Almost surely, 2^{871735564534848} 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 871735564534848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275566716791360).

871735564534848 is an abundant number, since it is smaller than the sum of its proper divisors (1679397869047872).

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

871735564534848 is a wasteful number, since it uses less digits than its factorization.

871735564534848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421085 (or 421075 counting only the distinct ones).

The product of its digits is 10838016000, while the sum is 78.

The spelling of 871735564534848 in words is "eight hundred seventy-one trillion, seven hundred thirty-five billion, five hundred sixty-four million, five hundred thirty-four thousand, eight hundred forty-eight".