218668932010880 has 512 divisors, whose sum is σ = 585599138611200. Its totient is φ = 77535919964160.

The previous prime is 218668932010853. The next prime is 218668932010961. The reversal of 218668932010880 is 88010239866812.

It is a super-2 number, since 2×218668932010880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18061357787 + ... + 18061369893.

It is an arithmetic number, because the mean of its divisors is an integer number (1143748317600).

Almost surely, 2^{218668932010880} is an apocalyptic number.

218668932010880 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 218668932010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292799569305600).

218668932010880 is an abundant number, since it is smaller than the sum of its proper divisors (366930206600320).

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

218668932010880 is a wasteful number, since it uses less digits than its factorization.

218668932010880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12702 (or 12690 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 62.

The spelling of 218668932010880 in words is "two hundred eighteen trillion, six hundred sixty-eight billion, nine hundred thirty-two million, ten thousand, eight hundred eighty".