12553544160 has 384 divisors, whose sum is σ = 44950671360. Its totient is φ = 3271477248.

The previous prime is 12553544137. The next prime is 12553544161. The reversal of 12553544160 is 6144535521.

12553544160 is a `hidden beast` number, since 1 + 2 + 5 + 53 + 544 + 1 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12553544161) 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 63 ways as a sum of consecutive naturals, for example, 56293809 + ... + 56294031.

It is an arithmetic number, because the mean of its divisors is an integer number (117059040).

Almost surely, 2^12553544160 is an apocalyptic number.

12553544160 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 12553544160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22475335680).

12553544160 is an abundant number, since it is smaller than the sum of its proper divisors (32397127200).

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

12553544160 is a wasteful number, since it uses less digits than its factorization.

12553544160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 12553544160 in words is "twelve billion, five hundred fifty-three million, five hundred forty-four thousand, one hundred sixty".