218212600320 has 1440 divisors, whose sum is σ = 931871356416. Its totient is φ = 48611819520.

The previous prime is 218212600289. The next prime is 218212600327. The reversal of 218212600320 is 23006212812.

218212600320 is a `hidden beast` number, since 2 + 1 + 8 + 21 + 2 + 600 + 32 + 0 = 666.

218212600320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218212600327) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 978531729 + ... + 978531951.

Almost surely, 2^218212600320 is an apocalyptic number.

218212600320 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 218212600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465935678208).

218212600320 is an abundant number, since it is smaller than the sum of its proper divisors (713658756096).

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

218212600320 is a wasteful number, since it uses less digits than its factorization.

218212600320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 218212600320 in words is "two hundred eighteen billion, two hundred twelve million, six hundred thousand, three hundred twenty".