12553360128 has 144 divisors (see below), whose sum is σ = 37677951360. Its totient is φ = 4121846784.

The previous prime is 12553360093. The next prime is 12553360151. The reversal of 12553360128 is 82106335521.

12553360128 is a `hidden beast` number, since 1 + 25 + 5 + 3 + 3 + 601 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 12553360092 and 12553360101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449551 + ... + 476657.

It is an arithmetic number, because the mean of its divisors is an integer number (261652440).

Almost surely, 2^12553360128 is an apocalyptic number.

12553360128 is a gapful number since it is divisible by the number (18) 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 12553360128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18838975680).

12553360128 is an abundant number, since it is smaller than the sum of its proper divisors (25124591232).

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

12553360128 is an equidigital number, since it uses as much as digits as its factorization.

12553360128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27199 (or 27179 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 12553360128 its reverse (82106335521), we get a palindrome (94659695649).

The spelling of 12553360128 in words is "twelve billion, five hundred fifty-three million, three hundred sixty thousand, one hundred twenty-eight".