12544153020 has 384 divisors, whose sum is σ = 47174400000. Its totient is φ = 2703310848.

The previous prime is 12544153009. The next prime is 12544153021. The reversal of 12544153020 is 2035144521.

12544153020 is a `hidden beast` number, since 125 + 4 + 4 + 1 + 530 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12544153021) 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 127 ways as a sum of consecutive naturals, for example, 27937756 + ... + 27938204.

It is an arithmetic number, because the mean of its divisors is an integer number (122850000).

Almost surely, 2^12544153020 is an apocalyptic number.

12544153020 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 12544153020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200000).

12544153020 is an abundant number, since it is smaller than the sum of its proper divisors (34630246980).

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

12544153020 is a wasteful number, since it uses less digits than its factorization.

12544153020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 874 counting only the distinct ones).

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

Adding to 12544153020 its reverse (2035144521), we get a palindrome (14579297541).

The spelling of 12544153020 in words is "twelve billion, five hundred forty-four million, one hundred fifty-three thousand, twenty".