12553142400 has 384 divisors, whose sum is σ = 47946038400. Its totient is φ = 3201454080.

The previous prime is 12553142341. The next prime is 12553142401. The reversal of 12553142400 is 424135521.

12553142400 is a `hidden beast` number, since 1 + 255 + 3 + 1 + 4 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×12553142400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12553142401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1984042 + ... + 1990358.

It is an arithmetic number, because the mean of its divisors is an integer number (124859475).

Almost surely, 2^12553142400 is an apocalyptic number.

12553142400 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 12553142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23973019200).

12553142400 is an abundant number, since it is smaller than the sum of its proper divisors (35392896000).

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

12553142400 is a wasteful number, since it uses less digits than its factorization.

12553142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6373 (or 6350 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 12553142400 its reverse (424135521), we get a palindrome (12977277921).

The spelling of 12553142400 in words is "twelve billion, five hundred fifty-three million, one hundred forty-two thousand, four hundred".