18867686400000 has 1344 divisors, whose sum is σ = 70944088662720. Its totient is φ = 5016453120000.

The previous prime is 18867686399957. The next prime is 18867686400077. The reversal of 18867686400000 is 468676881.

18867686400000 is a `hidden beast` number, since 18 + 86 + 76 + 86 + 400 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 18867686400000.

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 95 ways as a sum of consecutive naturals, for example, 55987199832 + ... + 55987200168.

It is an arithmetic number, because the mean of its divisors is an integer number (52785780255).

Almost surely, 2^{18867686400000} is an apocalyptic number.

18867686400000 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 18867686400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35472044331360).

18867686400000 is an abundant number, since it is smaller than the sum of its proper divisors (52076402262720).

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

18867686400000 is an frugal number, since it uses more digits than its factorization.

18867686400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 18867686400000 in words is "eighteen trillion, eight hundred sixty-seven billion, six hundred eighty-six million, four hundred thousand".