18025809984000 has 3840 divisors, whose sum is σ = 84943427272704. Its totient is φ = 3708592128000.

The previous prime is 18025809983969. The next prime is 18025809984001. The reversal of 18025809984000 is 48990852081.

18025809984000 is a `hidden beast` number, since 18 + 0 + 2 + 580 + 9 + 9 + 8 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (18025809984001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 66515903865 + ... + 66515904135.

Almost surely, 2^{18025809984000} is an apocalyptic number.

18025809984000 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 18025809984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42471713636352).

18025809984000 is an abundant number, since it is smaller than the sum of its proper divisors (66917617288704).

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

18025809984000 is an equidigital number, since it uses as much as digits as its factorization.

18025809984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 18025809984000 in words is "eighteen trillion, twenty-five billion, eight hundred nine million, nine hundred eighty-four thousand".