218881312557500 has 120 divisors (see below), whose sum is σ = 495501553747200. Its totient is φ = 84474276768000.

The previous prime is 218881312557493. The next prime is 218881312557503. The reversal of 218881312557500 is 5755213188812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218881312557503) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 102546149 + ... + 104658851.

It is an arithmetic number, because the mean of its divisors is an integer number (4129179614560).

Almost surely, 2^{218881312557500} is an apocalyptic number.

218881312557500 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 218881312557500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247750776873600).

218881312557500 is an abundant number, since it is smaller than the sum of its proper divisors (276620241189700).

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

218881312557500 is a wasteful number, since it uses less digits than its factorization.

218881312557500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114185 (or 2114168 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 56.

The spelling of 218881312557500 in words is "two hundred eighteen trillion, eight hundred eighty-one billion, three hundred twelve million, five hundred fifty-seven thousand, five hundred".