18378789128400 has 240 divisors, whose sum is σ = 59326217164800. Its totient is φ = 4863428666880.

The previous prime is 18378789128383. The next prime is 18378789128471. The reversal of 18378789128400 is 482198787381.

It is a Cunningham number, because it is equal to 4287049²-1.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102799887 + ... + 102978513.

It is an arithmetic number, because the mean of its divisors is an integer number (247192571520).

Almost surely, 2^{18378789128400} is an apocalyptic number.

18378789128400 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 18378789128400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29663108582400).

18378789128400 is an abundant number, since it is smaller than the sum of its proper divisors (40947428036400).

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

18378789128400 is a wasteful number, since it uses less digits than its factorization.

18378789128400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179306 (or 179295 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 66.

The spelling of 18378789128400 in words is "eighteen trillion, three hundred seventy-eight billion, seven hundred eighty-nine million, one hundred twenty-eight thousand, four hundred".