2171968531200 has 1944 divisors, whose sum is σ = 8954131586400. Its totient is φ = 501008302080.

The previous prime is 2171968531171. The next prime is 2171968531219. The reversal of 2171968531200 is 21358691712.

2171968531200 is a `hidden beast` number, since 2 + 1 + 7 + 1 + 96 + 8 + 531 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 19926316746 + ... + 19926316854.

Almost surely, 2^{2171968531200} is an apocalyptic number.

2171968531200 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 2171968531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477065793200).

2171968531200 is an abundant number, since it is smaller than the sum of its proper divisors (6782163055200).

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

2171968531200 is a wasteful number, since it uses less digits than its factorization.

2171968531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 2171968531200 in words is "two trillion, one hundred seventy-one billion, nine hundred sixty-eight million, five hundred thirty-one thousand, two hundred".