12644127896400 has 7200 divisors, whose sum is σ = 69088998021120. Its totient is φ = 2131992576000.

The previous prime is 12644127896369. The next prime is 12644127896431. The reversal of 12644127896400 is 469872144621.

12644127896400 is a `hidden beast` number, since 1 + 2 + 6 + 441 + 2 + 78 + 96 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12644127896369) and next prime (12644127896431).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 178086308365 + ... + 178086308435.

Almost surely, 2^{12644127896400} is an apocalyptic number.

12644127896400 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 12644127896400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34544499010560).

12644127896400 is an abundant number, since it is smaller than the sum of its proper divisors (56444870124720).

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

12644127896400 is a wasteful number, since it uses less digits than its factorization.

12644127896400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 12644127896400 in words is "twelve trillion, six hundred forty-four billion, one hundred twenty-seven million, eight hundred ninety-six thousand, four hundred".