218729984000 has 416 divisors, whose sum is σ = 605000627712. Its totient is φ = 78274560000.

The previous prime is 218729983991. The next prime is 218729984003. The reversal of 218729984000 is 489927812.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 218729984000.

It is not an unprimeable number, because it can be changed into a prime (218729984003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399871727 + ... + 399872273.

It is an arithmetic number, because the mean of its divisors is an integer number (1454328432).

Almost surely, 2^218729984000 is an apocalyptic number.

218729984000 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 218729984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302500313856).

218729984000 is an abundant number, since it is smaller than the sum of its proper divisors (386270643712).

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

218729984000 is an equidigital number, since it uses as much as digits as its factorization.

218729984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 50.

The spelling of 218729984000 in words is "two hundred eighteen billion, seven hundred twenty-nine million, nine hundred eighty-four thousand".