12732458400 has 216 divisors, whose sum is σ = 45532023264. Its totient is φ = 3347366400.

The previous prime is 12732458351. The next prime is 12732458407. The reversal of 12732458400 is 485423721.

It is a happy number.

12732458400 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 245 + 8 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12732458407) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 498747 + ... + 523653.

It is an arithmetic number, because the mean of its divisors is an integer number (210796404).

Almost surely, 2^12732458400 is an apocalyptic number.

12732458400 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 12732458400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22766011632).

12732458400 is an abundant number, since it is smaller than the sum of its proper divisors (32799564864).

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

12732458400 is a wasteful number, since it uses less digits than its factorization.

12732458400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25004 (or 24988 counting only the distinct ones).

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

The spelling of 12732458400 in words is "twelve billion, seven hundred thirty-two million, four hundred fifty-eight thousand, four hundred".