218821753920 has 336 divisors, whose sum is σ = 881662943808. Its totient is φ = 45469347840.

The previous prime is 218821753907. The next prime is 218821753937. The reversal of 218821753920 is 29357128812.

218821753920 is digitally balanced in base 2, 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 (336).

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 218821753920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305994 + ... + 728886.

Almost surely, 2^218821753920 is an apocalyptic number.

218821753920 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 218821753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440831471904).

218821753920 is an abundant number, since it is smaller than the sum of its proper divisors (662841189888).

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

218821753920 is a wasteful number, since it uses less digits than its factorization.

218821753920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422938 (or 422921 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 218821753920 in words is "two hundred eighteen billion, eight hundred twenty-one million, seven hundred fifty-three thousand, nine hundred twenty".