18027878400000 has 2880 divisors, whose sum is σ = 80601661163520. Its totient is φ = 3941498880000.

The previous prime is 18027878399987. The next prime is 18027878400001. The reversal of 18027878400000 is 487872081.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18027878400001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 783820799989 + ... + 783820800011.

It is an arithmetic number, because the mean of its divisors is an integer number (27986687904).

Almost surely, 2^{18027878400000} is an apocalyptic number.

18027878400000 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 18027878400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40300830581760).

18027878400000 is an abundant number, since it is smaller than the sum of its proper divisors (62573782763520).

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

18027878400000 is an frugal number, since it uses more digits than its factorization.

18027878400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 18027878400000 in words is "eighteen trillion, twenty-seven billion, eight hundred seventy-eight million, four hundred thousand".