18054424800 has 576 divisors, whose sum is σ = 68695603200. Its totient is φ = 4570214400.

The previous prime is 18054424763. The next prime is 18054424811. The reversal of 18054424800 is 842445081.

18054424800 is a `hidden beast` number, since 18 + 0 + 544 + 24 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39506172 + ... + 39506628.

It is an arithmetic number, because the mean of its divisors is an integer number (119263200).

Almost surely, 2^18054424800 is an apocalyptic number.

18054424800 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 18054424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34347801600).

18054424800 is an abundant number, since it is smaller than the sum of its proper divisors (50641178400).

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

18054424800 is a wasteful number, since it uses less digits than its factorization.

18054424800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

Adding to 18054424800 its reverse (842445081), we get a palindrome (18896869881).

The spelling of 18054424800 in words is "eighteen billion, fifty-four million, four hundred twenty-four thousand, eight hundred".