213324595200 has 1224 divisors, whose sum is σ = 867119599008. Its totient is φ = 49828331520.

The previous prime is 213324595181. The next prime is 213324595213. The reversal of 213324595200 is 2595423312.

213324595200 is a `hidden beast` number, since 2 + 13 + 32 + 4 + 595 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1224).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5765529582 + ... + 5765529618.

Almost surely, 2^213324595200 is an apocalyptic number.

213324595200 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 213324595200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433559799504).

213324595200 is an abundant number, since it is smaller than the sum of its proper divisors (653795003808).

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

213324595200 is a wasteful number, since it uses less digits than its factorization.

213324595200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 213324595200 in words is "two hundred thirteen billion, three hundred twenty-four million, five hundred ninety-five thousand, two hundred".