211953416304400 has 135 divisors (see below), whose sum is σ = 515066895568191. Its totient is φ = 83818517629440.

The previous prime is 211953416304397. The next prime is 211953416304401. The reversal of 211953416304400 is 4403614359112.

The square root of 211953416304400 is 14558620.

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

It can be written as a sum of positive squares in 4 ways, for example, as 44107503257104 + 167845913047296 = 6641348^2 + 12955536^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211953416304401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25914339511 + ... + 25914347689.

Almost surely, 2^{211953416304400} is an apocalyptic number.

211953416304400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

211953416304400 is the 14558620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211953416304400

211953416304400 is an abundant number, since it is smaller than the sum of its proper divisors (303113479263791).

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

211953416304400 is an frugal number, since it uses more digits than its factorization.

211953416304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16554 (or 8275 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 211953416304400 in words is "two hundred eleven trillion, nine hundred fifty-three billion, four hundred sixteen million, three hundred four thousand, four hundred".