12675525408 has 504 divisors, whose sum is σ = 46926857628. Its totient is φ = 3339076608.

The previous prime is 12675525403. The next prime is 12675525419. The reversal of 12675525408 is 80452557621.

12675525408 is a `hidden beast` number, since 12 + 6 + 75 + 525 + 40 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10109900304 + 2565625104 = 100548^2 + 50652^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (12675525403) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 14859510 + ... + 14860362.

Almost surely, 2^12675525408 is an apocalyptic number.

12675525408 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 12675525408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23463428814).

12675525408 is an abundant number, since it is smaller than the sum of its proper divisors (34251332220).

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

12675525408 is an equidigital number, since it uses as much as digits as its factorization.

12675525408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 12675525408 in words is "twelve billion, six hundred seventy-five million, five hundred twenty-five thousand, four hundred eight".