18006105600 has 720 divisors, whose sum is σ = 76464355968. Its totient is φ = 4110704640.

The previous prime is 18006105583. The next prime is 18006105631. The reversal of 18006105600 is 650160081.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21772387 + ... + 21773213.

Almost surely, 2^18006105600 is an apocalyptic number.

18006105600 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 18006105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38232177984).

18006105600 is an abundant number, since it is smaller than the sum of its proper divisors (58458250368).

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

18006105600 is an frugal number, since it uses more digits than its factorization.

18006105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 18006105600 its reverse (650160081), we get a palindrome (18656265681).

The spelling of 18006105600 in words is "eighteen billion, six million, one hundred five thousand, six hundred".