218432270008680 has 1024 divisors, whose sum is σ = 832228024320000. Its totient is φ = 44636845768704.

The previous prime is 218432270008679. The next prime is 218432270008697. The reversal of 218432270008680 is 86800072234812.

It is a super-2 number, since 2×218432270008680² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 47086065801 + ... + 47086070439.

It is an arithmetic number, because the mean of its divisors is an integer number (812722680000).

Almost surely, 2^{218432270008680} is an apocalyptic number.

218432270008680 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 218432270008680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416114012160000).

218432270008680 is an abundant number, since it is smaller than the sum of its proper divisors (613795754311320).

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

218432270008680 is a wasteful number, since it uses less digits than its factorization.

218432270008680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5538 (or 5534 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 218432270008680 in words is "two hundred eighteen trillion, four hundred thirty-two billion, two hundred seventy million, eight thousand, six hundred eighty".