218557382000 has 40 divisors (see below), whose sum is σ = 528471754512. Its totient is φ = 87422952000.

The previous prime is 218557381901. The next prime is 218557382003. The reversal of 218557382000 is 283755812.

218557382000 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 (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218557382003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 54637346 + ... + 54641345.

Almost surely, 2^218557382000 is an apocalyptic number.

218557382000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218557382000 is an abundant number, since it is smaller than the sum of its proper divisors (309914372512).

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

218557382000 is a wasteful number, since it uses less digits than its factorization.

218557382000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109278714 (or 109278698 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 41.

The spelling of 218557382000 in words is "two hundred eighteen billion, five hundred fifty-seven million, three hundred eighty-two thousand".