213561366200 has 192 divisors, whose sum is σ = 625328309760. Its totient is φ = 66016581120.

The previous prime is 213561366163. The next prime is 213561366209. The reversal of 213561366200 is 2663165312.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213561366209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 646157 + ... + 919043.

It is an arithmetic number, because the mean of its divisors is an integer number (3256918280).

Almost surely, 2^213561366200 is an apocalyptic number.

213561366200 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 213561366200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312664154880).

213561366200 is an abundant number, since it is smaller than the sum of its proper divisors (411766943560).

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

213561366200 is a wasteful number, since it uses less digits than its factorization.

213561366200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272966 (or 272957 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The spelling of 213561366200 in words is "two hundred thirteen billion, five hundred sixty-one million, three hundred sixty-six thousand, two hundred".