18282783160320 has 2304 divisors, whose sum is σ = 78344979148800. Its totient is φ = 3602928107520.

The previous prime is 18282783160307. The next prime is 18282783160331. The reversal of 18282783160320 is 2306138728281.

It is a super-3 number, since 3×18282783160320³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15072368034 + ... + 15072369246.

It is an arithmetic number, because the mean of its divisors is an integer number (34003897200).

Almost surely, 2^{18282783160320} is an apocalyptic number.

18282783160320 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 18282783160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39172489574400).

18282783160320 is an abundant number, since it is smaller than the sum of its proper divisors (60062195988480).

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

18282783160320 is a wasteful number, since it uses less digits than its factorization.

18282783160320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 18282783160320 in words is "eighteen trillion, two hundred eighty-two billion, seven hundred eighty-three million, one hundred sixty thousand, three hundred twenty".