12789400176 has 160 divisors (see below), whose sum is σ = 43308339200. Its totient is φ = 3536213760.

The previous prime is 12789400157. The next prime is 12789400189. The reversal of 12789400176 is 67100498721.

It is a happy number.

12789400176 is a `hidden beast` number, since 1 + 2 + 78 + 9 + 400 + 176 = 666.

12789400176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 25530 + ... + 161958.

It is an arithmetic number, because the mean of its divisors is an integer number (270677120).

Almost surely, 2^12789400176 is an apocalyptic number.

12789400176 is a gapful number since it is divisible by the number (16) 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 12789400176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21654169600).

12789400176 is an abundant number, since it is smaller than the sum of its proper divisors (30518939024).

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

12789400176 is a wasteful number, since it uses less digits than its factorization.

12789400176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136484 (or 136472 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

Adding to 12789400176 its reverse (67100498721), we get a palindrome (79889898897).

The spelling of 12789400176 in words is "twelve billion, seven hundred eighty-nine million, four hundred thousand, one hundred seventy-six".