12825417600 has 288 divisors, whose sum is σ = 46245894240. Its totient is φ = 3384115200.

The previous prime is 12825417569. The next prime is 12825417617. The reversal of 12825417600 is 671452821.

12825417600 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 5 + 41 + 7 + 600 = 666.

12825417600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12825417600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 2791305 + ... + 2795895.

Almost surely, 2^12825417600 is an apocalyptic number.

12825417600 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 12825417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23122947120).

12825417600 is an abundant number, since it is smaller than the sum of its proper divisors (33420476640).

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

12825417600 is a wasteful number, since it uses less digits than its factorization.

12825417600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4718 (or 4698 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 12825417600 in words is "twelve billion, eight hundred twenty-five million, four hundred seventeen thousand, six hundred".