12588812544 has 288 divisors, whose sum is σ = 42026471424. Its totient is φ = 3249930240.

The previous prime is 12588812527. The next prime is 12588812557. The reversal of 12588812544 is 44521888521.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 12588812493 and 12588812502.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11412697 + ... + 11413799.

It is an arithmetic number, because the mean of its divisors is an integer number (145925248).

Almost surely, 2^12588812544 is an apocalyptic number.

12588812544 is a gapful number since it is divisible by the number (14) 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 12588812544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21013235712).

12588812544 is an abundant number, since it is smaller than the sum of its proper divisors (29437658880).

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

12588812544 is a wasteful number, since it uses less digits than its factorization.

12588812544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1319 counting only the distinct ones).

The product of its digits is 819200, while the sum is 48.

The spelling of 12588812544 in words is "twelve billion, five hundred eighty-eight million, eight hundred twelve thousand, five hundred forty-four".