12677583225600 has 1296 divisors, whose sum is σ = 49420756869120. Its totient is φ = 3088701849600.

The previous prime is 12677583225589. The next prime is 12677583225679. The reversal of 12677583225600 is 652238577621.

12677583225600 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 7 + 5 + 8 + 3 + 2 + 25 + 600 = 666.

It is a super-2 number, since 2×12677583225600² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14690130769 + ... + 14690131631.

Almost surely, 2^{12677583225600} is an apocalyptic number.

12677583225600 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 12677583225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24710378434560).

12677583225600 is an abundant number, since it is smaller than the sum of its proper divisors (36743173643520).

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

12677583225600 is a wasteful number, since it uses less digits than its factorization.

12677583225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 12677583225600 in words is "twelve trillion, six hundred seventy-seven billion, five hundred eighty-three million, two hundred twenty-five thousand, six hundred".