2171766988800 has 672 divisors, whose sum is σ = 8062991748000. Its totient is φ = 573025812480.

The previous prime is 2171766988751. The next prime is 2171766988921. The reversal of 2171766988800 is 88896671712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 536369176 + ... + 536373224.

It is an arithmetic number, because the mean of its divisors is an integer number (11998499625).

Almost surely, 2^{2171766988800} is an apocalyptic number.

2171766988800 is a gapful number since it is divisible by the number (20) 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 2171766988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031495874000).

2171766988800 is an abundant number, since it is smaller than the sum of its proper divisors (5891224759200).

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

2171766988800 is an equidigital number, since it uses as much as digits as its factorization.

2171766988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4191 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 2171766988800 in words is "two trillion, one hundred seventy-one billion, seven hundred sixty-six million, nine hundred eighty-eight thousand, eight hundred".