18103112755200 has 3456 divisors, whose sum is σ = 80486168555520. Its totient is φ = 3981312000000.

The previous prime is 18103112755181. The next prime is 18103112755207. The reversal of 18103112755200 is 255721130181.

18103112755200 is a `hidden beast` number, since 1 + 8 + 1 + 0 + 3 + 1 + 127 + 5 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 (18103112755207) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 72123955075 + ... + 72123955325.

It is an arithmetic number, because the mean of its divisors is an integer number (23288821920).

Almost surely, 2^{18103112755200} is an apocalyptic number.

18103112755200 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 18103112755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40243084277760).

18103112755200 is an abundant number, since it is smaller than the sum of its proper divisors (62383055800320).

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

18103112755200 is a wasteful number, since it uses less digits than its factorization.

18103112755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

Adding to 18103112755200 its reverse (255721130181), we get a palindrome (18358833885381).

The spelling of 18103112755200 in words is "eighteen trillion, one hundred three billion, one hundred twelve million, seven hundred fifty-five thousand, two hundred".