12605388879168 has 420 divisors, whose sum is σ = 38732643055260. Its totient is φ = 4053004369920.

The previous prime is 12605388879163. The next prime is 12605388879199. The reversal of 12605388879168 is 86197888350621.

12605388879168 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 5 + 388 + 87 + 9 + 168 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4396201210944 + 8209187668224 = 2096712^2 + 2865168^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12605388879096 and 12605388879105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12605388879163) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 775564930 + ... + 775581182.

It is an arithmetic number, because the mean of its divisors is an integer number (92220578703).

Almost surely, 2^{12605388879168} is an apocalyptic number.

12605388879168 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 12605388879168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19366321527630).

12605388879168 is an abundant number, since it is smaller than the sum of its proper divisors (26127254176092).

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

12605388879168 is an equidigital number, since it uses as much as digits as its factorization.

12605388879168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16448 (or 16388 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 12605388879168 in words is "twelve trillion, six hundred five billion, three hundred eighty-eight million, eight hundred seventy-nine thousand, one hundred sixty-eight".