12553430400 has 576 divisors, whose sum is σ = 51954695520. Its totient is φ = 2826731520.

The previous prime is 12553430399. The next prime is 12553430431. The reversal of 12553430400 is 403435521.

12553430400 is a `hidden beast` number, since 1 + 255 + 3 + 4 + 3 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×12553430400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14716374 + ... + 14717226.

Almost surely, 2^12553430400 is an apocalyptic number.

12553430400 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 12553430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25977347760).

12553430400 is an abundant number, since it is smaller than the sum of its proper divisors (39401265120).

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

12553430400 is a wasteful number, since it uses less digits than its factorization.

12553430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 12553430400 its reverse (403435521), we get a palindrome (12956865921).

The spelling of 12553430400 in words is "twelve billion, five hundred fifty-three million, four hundred thirty thousand, four hundred".