18111340800 has 1620 divisors, whose sum is σ = 83908129536. Its totient is φ = 3832012800.

The previous prime is 18111340781. The next prime is 18111340811. The reversal of 18111340800 is 804311181.

It is a tau number, because it is divible by the number of its divisors (1620).

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

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 179 ways as a sum of consecutive naturals, for example, 584236785 + ... + 584236815.

Almost surely, 2^18111340800 is an apocalyptic number.

18111340800 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 18111340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41954064768).

18111340800 is an abundant number, since it is smaller than the sum of its proper divisors (65796788736).

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

18111340800 is a wasteful number, since it uses less digits than its factorization.

18111340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 18111340800 its reverse (804311181), we get a palindrome (18915651981).

The spelling of 18111340800 in words is "eighteen billion, one hundred eleven million, three hundred forty thousand, eight hundred".