12607451018400 has 576 divisors, whose sum is σ = 49391358750720. Its totient is φ = 2728749772800.

The previous prime is 12607451018399. The next prime is 12607451018401. The reversal of 12607451018400 is 481015470621.

It is an interprime number because it is at equal distance from previous prime (12607451018399) and next prime (12607451018401).

It is not an unprimeable number, because it can be changed into a prime (12607451018401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 781074330 + ... + 781090470.

It is an arithmetic number, because the mean of its divisors is an integer number (85748886720).

Almost surely, 2^{12607451018400} is an apocalyptic number.

12607451018400 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 12607451018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24695679375360).

12607451018400 is an abundant number, since it is smaller than the sum of its proper divisors (36783907732320).

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

12607451018400 is a wasteful number, since it uses less digits than its factorization.

12607451018400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18637 (or 18624 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 12607451018400 in words is "twelve trillion, six hundred seven billion, four hundred fifty-one million, eighteen thousand, four hundred".