218765164800 has 1296 divisors, whose sum is σ = 935240474112. Its totient is φ = 44590694400.

The previous prime is 218765164789. The next prime is 218765164837. The reversal of 218765164800 is 8461567812.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 218765164800.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 379142112 + ... + 379142688.

Almost surely, 2^218765164800 is an apocalyptic number.

218765164800 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 218765164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467620237056).

218765164800 is an abundant number, since it is smaller than the sum of its proper divisors (716475309312).

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

218765164800 is a wasteful number, since it uses less digits than its factorization.

218765164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 218765164800 in words is "two hundred eighteen billion, seven hundred sixty-five million, one hundred sixty-four thousand, eight hundred".