12675525408000 has 3024 divisors, whose sum is σ = 59378117185296. Its totient is φ = 2671261286400.

The previous prime is 12675525407959. The next prime is 12675525408019. The reversal of 12675525408000 is 80452557621.

12675525408000 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 5 + 525 + 40 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9776978297856 + 2898547110144 = 3126816^2 + 1702512^2 .

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 14859935574 + ... + 14859936426.

Almost surely, 2^{12675525408000} is an apocalyptic number.

12675525408000 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 12675525408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29689058592648).

12675525408000 is an abundant number, since it is smaller than the sum of its proper divisors (46702591777296).

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

12675525408000 is an frugal number, since it uses more digits than its factorization.

12675525408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 883 counting only the distinct ones).

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

The spelling of 12675525408000 in words is "twelve trillion, six hundred seventy-five billion, five hundred twenty-five million, four hundred eight thousand".