18082584000 has 336 divisors, whose sum is σ = 69663746880. Its totient is φ = 4450867200.

The previous prime is 18082583921. The next prime is 18082584007. The reversal of 18082584000 is 48528081.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18082584007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 926341 + ... + 945659.

It is an arithmetic number, because the mean of its divisors is an integer number (207332580).

Almost surely, 2^18082584000 is an apocalyptic number.

18082584000 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 18082584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34831873440).

18082584000 is an abundant number, since it is smaller than the sum of its proper divisors (51581162880).

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

18082584000 is a wasteful number, since it uses less digits than its factorization.

18082584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19365 (or 19342 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 18082584000 in words is "eighteen billion, eighty-two million, five hundred eighty-four thousand".