18528000000 has 336 divisors, whose sum is σ = 62064049320. Its totient is φ = 4915200000.

The previous prime is 18527999993. The next prime is 18528000059. The reversal of 18528000000 is 82581.

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 (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 95999904 + ... + 96000096.

Almost surely, 2^18528000000 is an apocalyptic number.

18528000000 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 18528000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31032024660).

18528000000 is an abundant number, since it is smaller than the sum of its proper divisors (43536049320).

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

18528000000 is an frugal number, since it uses more digits than its factorization.

18528000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 18528000000 its reverse (82581), we get a palindrome (18528082581).

The spelling of 18528000000 in words is "eighteen billion, five hundred twenty-eight million", and thus it is an aban number.