18004153200 has 240 divisors, whose sum is σ = 63040000896. Its totient is φ = 4356070400.

The previous prime is 18004153169. The next prime is 18004153217. The reversal of 18004153200 is 235140081.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9014602 + ... + 9016598.

Almost surely, 2^18004153200 is an apocalyptic number.

18004153200 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 18004153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31520000448).

18004153200 is an abundant number, since it is smaller than the sum of its proper divisors (45035847696).

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

18004153200 is a wasteful number, since it uses less digits than its factorization.

18004153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 18004153200 its reverse (235140081), we get a palindrome (18239293281).

The spelling of 18004153200 in words is "eighteen billion, four million, one hundred fifty-three thousand, two hundred".