18216506880 has 1280 divisors, whose sum is σ = 80844825600. Its totient is φ = 3822059520.

The previous prime is 18216506879. The next prime is 18216506909. The reversal of 18216506880 is 8860561281.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×18216506880² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 187798992 + ... + 187799088.

It is an arithmetic number, because the mean of its divisors is an integer number (63160020).

Almost surely, 2^18216506880 is an apocalyptic number.

18216506880 is a gapful number since it is divisible by the number (10) 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 18216506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40422412800).

18216506880 is an abundant number, since it is smaller than the sum of its proper divisors (62628318720).

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

18216506880 is a wasteful number, since it uses less digits than its factorization.

18216506880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 18216506880 in words is "eighteen billion, two hundred sixteen million, five hundred six thousand, eight hundred eighty".