213552012243600 has 420 divisors, whose sum is σ = 778973422768000. Its totient is φ = 56226346525440.

The previous prime is 213552012243569. The next prime is 213552012243629. The reversal of 213552012243600 is 6342210255312.

213552012243600 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 5 + 2 + 0 + 1 + 2 + 2 + 43 + 600 = 666.

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 83 ways as a sum of consecutive naturals, for example, 18401301 + ... + 27671499.

Almost surely, 2^{213552012243600} is an apocalyptic number.

213552012243600 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 213552012243600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389486711384000).

213552012243600 is an abundant number, since it is smaller than the sum of its proper divisors (565421410524400).

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

213552012243600 is an equidigital number, since it uses as much as digits as its factorization.

213552012243600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9270314 (or 9270288 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 213552012243600 its reverse (6342210255312), we get a palindrome (219894222498912).

The spelling of 213552012243600 in words is "two hundred thirteen trillion, five hundred fifty-two billion, twelve million, two hundred forty-three thousand, six hundred".