18102000055104 has 336 divisors, whose sum is σ = 61292105447040. Its totient is φ = 5000985169920.

The previous prime is 18102000055099. The next prime is 18102000055127. The reversal of 18102000055104 is 40155000020181.

18102000055104 is a `hidden beast` number, since 1 + 8 + 102 + 0 + 0 + 0 + 0 + 551 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13887442 + ... + 15134894.

Almost surely, 2^{18102000055104} is an apocalyptic number.

18102000055104 is a gapful number since it is divisible by the number (14) 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 18102000055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30646052723520).

18102000055104 is an abundant number, since it is smaller than the sum of its proper divisors (43190105391936).

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

18102000055104 is a wasteful number, since it uses less digits than its factorization.

18102000055104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247598 (or 1247585 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 18102000055104 its reverse (40155000020181), we get a palindrome (58257000075285).

The spelling of 18102000055104 in words is "eighteen trillion, one hundred two billion, fifty-five thousand, one hundred four".