12780390168 has 256 divisors, whose sum is σ = 44712729600. Its totient is φ = 3292047360.

The previous prime is 12780390157. The next prime is 12780390179. The reversal of 12780390168 is 86109308721.

12780390168 is a `hidden beast` number, since 1 + 27 + 80 + 390 + 168 = 666.

12780390168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12780390157) and next prime (12780390179).

It is a super-2 number, since 2×12780390168² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 837648 + ... + 852768.

It is an arithmetic number, because the mean of its divisors is an integer number (174659100).

Almost surely, 2^12780390168 is an apocalyptic number.

12780390168 is a gapful number since it is divisible by the number (18) 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 12780390168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22356364800).

12780390168 is an abundant number, since it is smaller than the sum of its proper divisors (31932339432).

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

12780390168 is a wasteful number, since it uses less digits than its factorization.

12780390168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15199 (or 15189 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

Adding to 12780390168 its reverse (86109308721), we get a palindrome (98889698889).

The spelling of 12780390168 in words is "twelve billion, seven hundred eighty million, three hundred ninety thousand, one hundred sixty-eight".