12543782400 has 180 divisors, whose sum is σ = 44891146872. Its totient is φ = 3344977920.

The previous prime is 12543782357. The next prime is 12543782413. The reversal of 12543782400 is 428734521.

It is a happy number.

12543782400 is a `hidden beast` number, since 1 + 2 + 543 + 78 + 2 + 40 + 0 = 666.

12543782400 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 (180).

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 17 ways as a sum of consecutive naturals, for example, 60757 + ... + 169643.

Almost surely, 2^12543782400 is an apocalyptic number.

12543782400 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 12543782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22445573436).

12543782400 is an abundant number, since it is smaller than the sum of its proper divisors (32347364472).

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

12543782400 is a wasteful number, since it uses less digits than its factorization.

12543782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108921 (or 108897 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 12543782400 in words is "twelve billion, five hundred forty-three million, seven hundred eighty-two thousand, four hundred".