18283089868960 has 576 divisors, whose sum is σ = 53766233136000. Its totient is φ = 5841032601600.

The previous prime is 18283089868951. The next prime is 18283089868963. The reversal of 18283089868960 is 6986898038281.

It is a Harshad number since it is a multiple of its sum of digits (76).

It is not an unprimeable number, because it can be changed into a prime (18283089868963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2256888910 + ... + 2256897010.

It is an arithmetic number, because the mean of its divisors is an integer number (93344154750).

Almost surely, 2^{18283089868960} is an apocalyptic number.

18283089868960 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 18283089868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26883116568000).

18283089868960 is an abundant number, since it is smaller than the sum of its proper divisors (35483143267040).

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

18283089868960 is a wasteful number, since it uses less digits than its factorization.

18283089868960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8397 (or 8382 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 76.

The spelling of 18283089868960 in words is "eighteen trillion, two hundred eighty-three billion, eighty-nine million, eight hundred sixty-eight thousand, nine hundred sixty".