18027733323600 has 1440 divisors, whose sum is σ = 86805354379520. Its totient is φ = 3457844121600.

The previous prime is 18027733323599. The next prime is 18027733323617. The reversal of 18027733323600 is 632333772081.

18027733323600 is a `hidden beast` number, since 1 + 8 + 0 + 2 + 7 + 7 + 3 + 3 + 32 + 3 + 600 = 666.

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

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 118843002 + ... + 118994598.

Almost surely, 2^{18027733323600} is an apocalyptic number.

18027733323600 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 18027733323600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43402677189760).

18027733323600 is an abundant number, since it is smaller than the sum of its proper divisors (68777621055920).

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

18027733323600 is a wasteful number, since it uses less digits than its factorization.

18027733323600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151666 (or 151638 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 18027733323600 in words is "eighteen trillion, twenty-seven billion, seven hundred thirty-three million, three hundred twenty-three thousand, six hundred".