871668449280 has 952 divisors, whose sum is σ = 3249150476040. Its totient is φ = 224227491840.

The previous prime is 871668449273. The next prime is 871668449291. The reversal of 871668449280 is 82944866178.

871668449280 is a `hidden beast` number, since 8 + 7 + 1 + 6 + 68 + 4 + 492 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13807190016 + 857861259264 = 117504^2 + 926208^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9794027476 + ... + 9794027564.

Almost surely, 2^871668449280 is an apocalyptic number.

871668449280 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 871668449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624575238020).

871668449280 is an abundant number, since it is smaller than the sum of its proper divisors (2377482026760).

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

871668449280 is an frugal number, since it uses more digits than its factorization.

871668449280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 871668449280 in words is "eight hundred seventy-one billion, six hundred sixty-eight million, four hundred forty-nine thousand, two hundred eighty".