2171207875200 has 2304 divisors, whose sum is σ = 9592486041600. Its totient is φ = 426801070080.

The previous prime is 2171207875171. The next prime is 2171207875217. The reversal of 2171207875200 is 25787021712.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6047932621 + ... + 6047932979.

It is an arithmetic number, because the mean of its divisors is an integer number (4163405400).

Almost surely, 2^{2171207875200} is an apocalyptic number.

2171207875200 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 2171207875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796243020800).

2171207875200 is an abundant number, since it is smaller than the sum of its proper divisors (7421278166400).

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

2171207875200 is a wasteful number, since it uses less digits than its factorization.

2171207875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 42.

The spelling of 2171207875200 in words is "two trillion, one hundred seventy-one billion, two hundred seven million, eight hundred seventy-five thousand, two hundred".