171213888400 has 135 divisors (see below), whose sum is σ = 437320587289. Its totient is φ = 64404029440.

The previous prime is 171213888389. The next prime is 171213888421. The reversal of 171213888400 is 4888312171.

The square root of 171213888400 is 413780.

It is a perfect power (a square), and thus also a powerful number.

171213888400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 88002409104 + 83211479296 = 296652^2 + 288464^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 140684592 + ... + 140685808.

Almost surely, 2^171213888400 is an apocalyptic number.

171213888400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

171213888400 is the 413780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171213888400

171213888400 is an abundant number, since it is smaller than the sum of its proper divisors (266106698889).

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

171213888400 is an equidigital number, since it uses as much as digits as its factorization.

171213888400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 43.

The spelling of 171213888400 in words is "one hundred seventy-one billion, two hundred thirteen million, eight hundred eighty-eight thousand, four hundred".