18128917800000 has 2688 divisors, whose sum is σ = 79974401310720. Its totient is φ = 3989088000000.

The previous prime is 18128917799977. The next prime is 18128917800067. The reversal of 18128917800000 is 871982181.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 94915799905 + ... + 94915800095.

It is an arithmetic number, because the mean of its divisors is an integer number (29752381440).

Almost surely, 2^{18128917800000} is an apocalyptic number.

18128917800000 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 18128917800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39987200655360).

18128917800000 is an abundant number, since it is smaller than the sum of its proper divisors (61845483510720).

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

18128917800000 is an frugal number, since it uses more digits than its factorization.

18128917800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 45.

The spelling of 18128917800000 in words is "eighteen trillion, one hundred twenty-eight billion, nine hundred seventeen million, eight hundred thousand".