213268723200 has 600 divisors, whose sum is σ = 850094111328. Its totient is φ = 52493598720.

The previous prime is 213268723183. The next prime is 213268723279. The reversal of 213268723200 is 2327862312.

213268723200 is a `hidden beast` number, since 2 + 1 + 3 + 268 + 72 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13470489 + ... + 13486311.

Almost surely, 2^213268723200 is an apocalyptic number.

213268723200 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 213268723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425047055664).

213268723200 is an abundant number, since it is smaller than the sum of its proper divisors (636825388128).

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

213268723200 is a wasteful number, since it uses less digits than its factorization.

213268723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15876 (or 15846 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 213268723200 in words is "two hundred thirteen billion, two hundred sixty-eight million, seven hundred twenty-three thousand, two hundred".