2171871516216 has 128 divisors (see below), whose sum is σ = 5770233849600. Its totient is φ = 680278072320.

The previous prime is 2171871516161. The next prime is 2171871516233. The reversal of 2171871516216 is 6126151781712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3078831 + ... + 3717921.

It is an arithmetic number, because the mean of its divisors is an integer number (45079951950).

Almost surely, 2^{2171871516216} 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 2171871516216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885116924800).

2171871516216 is an abundant number, since it is smaller than the sum of its proper divisors (3598362333384).

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

2171871516216 is a wasteful number, since it uses less digits than its factorization.

2171871516216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639269 (or 639265 counting only the distinct ones).

The product of its digits is 282240, while the sum is 48.

The spelling of 2171871516216 in words is "two trillion, one hundred seventy-one billion, eight hundred seventy-one million, five hundred sixteen thousand, two hundred sixteen".