218792551120 has 160 divisors (see below), whose sum is σ = 601166522880. Its totient is φ = 73440207360.

The previous prime is 218792551063. The next prime is 218792551121. The reversal of 218792551120 is 21155297812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218792551121) 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 31 ways as a sum of consecutive naturals, for example, 1876777 + ... + 1989943.

It is an arithmetic number, because the mean of its divisors is an integer number (3757290768).

Almost surely, 2^218792551120 is an apocalyptic number.

218792551120 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 218792551120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300583261440).

218792551120 is an abundant number, since it is smaller than the sum of its proper divisors (382373971760).

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

218792551120 is a wasteful number, since it uses less digits than its factorization.

218792551120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113230 (or 113198 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 43.

The spelling of 218792551120 in words is "two hundred eighteen billion, seven hundred ninety-two million, five hundred fifty-one thousand, one hundred twenty".