213322665600 has 1152 divisors, whose sum is σ = 860365022400. Its totient is φ = 49889280000.

The previous prime is 213322665571. The next prime is 213322665629. The reversal of 213322665600 is 6566223312.

213322665600 is a `hidden beast` number, since 2 + 1 + 3 + 32 + 2 + 66 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (213322665571) and next prime (213322665629).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1887811144 + ... + 1887811256.

Almost surely, 2^213322665600 is an apocalyptic number.

213322665600 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 213322665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430182511200).

213322665600 is an abundant number, since it is smaller than the sum of its proper divisors (647042356800).

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

213322665600 is a wasteful number, since it uses less digits than its factorization.

213322665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 213322665600 its reverse (6566223312), we get a palindrome (219888888912).

The spelling of 213322665600 in words is "two hundred thirteen billion, three hundred twenty-two million, six hundred sixty-five thousand, six hundred".