218400060000 has 240 divisors, whose sum is σ = 754104859200. Its totient is φ = 55174464000.

The previous prime is 218400059987. The next prime is 218400060007. The reversal of 218400060000 is 60004812.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218400060007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1044211 + ... + 1235789.

It is an arithmetic number, because the mean of its divisors is an integer number (3142103580).

Almost surely, 2^218400060000 is an apocalyptic number.

218400060000 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 218400060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377052429600).

218400060000 is an abundant number, since it is smaller than the sum of its proper divisors (535704799200).

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

218400060000 is a wasteful number, since it uses less digits than its factorization.

218400060000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191631 (or 191608 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 218400060000 its reverse (60004812), we get a palindrome (218460064812).

The spelling of 218400060000 in words is "two hundred eighteen billion, four hundred million, sixty thousand".