18285890745600 has 756 divisors, whose sum is σ = 71431517152800. Its totient is φ = 4619571056640.

The previous prime is 18285890745599. The next prime is 18285890745623. The reversal of 18285890745600 is 654709858281.

18285890745600 is a `hidden beast` number, since 1 + 8 + 2 + 8 + 589 + 0 + 7 + 45 + 6 + 0 + 0 = 666.

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 83 ways as a sum of consecutive naturals, for example, 88543261 + ... + 88749539.

It is an arithmetic number, because the mean of its divisors is an integer number (94486133800).

Almost surely, 2^{18285890745600} is an apocalyptic number.

18285890745600 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 18285890745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35715758576400).

18285890745600 is an abundant number, since it is smaller than the sum of its proper divisors (53145626407200).

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

18285890745600 is an equidigital number, since it uses as much as digits as its factorization.

18285890745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206342 (or 206308 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 18285890745600 in words is "eighteen trillion, two hundred eighty-five billion, eight hundred ninety million, seven hundred forty-five thousand, six hundred".