213609552200 has 108 divisors (see below), whose sum is σ = 546079784985. Its totient is φ = 77650056000.

The previous prime is 213609552199. The next prime is 213609552223. The reversal of 213609552200 is 2255906312.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 209337361156 + 4272191044 = 457534^2 + 65362^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=326810.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 71896715 + ... + 71899685.

Almost surely, 2^213609552200 is an apocalyptic number.

213609552200 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 213609552200

213609552200 is an abundant number, since it is smaller than the sum of its proper divisors (332470232785).

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

213609552200 is an equidigital number, since it uses as much as digits as its factorization.

213609552200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5980 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 213609552200 in words is "two hundred thirteen billion, six hundred nine million, five hundred fifty-two thousand, two hundred".