218080991520 has 1536 divisors, whose sum is σ = 952197120000. Its totient is φ = 47076277248.

The previous prime is 218080991509. The next prime is 218080991521. The reversal of 218080991520 is 25199080812.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218080991521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2760518841 + ... + 2760518919.

It is an arithmetic number, because the mean of its divisors is an integer number (619920000).

Almost surely, 2^218080991520 is an apocalyptic number.

218080991520 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 218080991520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476098560000).

218080991520 is an abundant number, since it is smaller than the sum of its proper divisors (734116128480).

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

218080991520 is an frugal number, since it uses more digits than its factorization.

218080991520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 218080991520 in words is "two hundred eighteen billion, eighty million, nine hundred ninety-one thousand, five hundred twenty".