218188828020 has 96 divisors (see below), whose sum is σ = 622657445760. Its totient is φ = 57067379200.

The previous prime is 218188828007. The next prime is 218188828049. The reversal of 218188828020 is 20828881812.

It is a super-2 number, since 2×218188828020² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11759911 + ... + 11778449.

It is an arithmetic number, because the mean of its divisors is an integer number (6486015060).

Almost surely, 2^218188828020 is an apocalyptic number.

218188828020 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 218188828020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311328722880).

218188828020 is an abundant number, since it is smaller than the sum of its proper divisors (404468617740).

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

218188828020 is a wasteful number, since it uses less digits than its factorization.

218188828020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22305 (or 22303 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 48.

The spelling of 218188828020 in words is "two hundred eighteen billion, one hundred eighty-eight million, eight hundred twenty-eight thousand, twenty".