12709004544 has 576 divisors, whose sum is σ = 42384384000. Its totient is φ = 3739115520.

The previous prime is 12709004537. The next prime is 12709004597. The reversal of 12709004544 is 44540090721.

It is a happy number.

12709004544 is a `hidden beast` number, since 1 + 27 + 0 + 90 + 0 + 4 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 12709004499 and 12709004508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179000029 + ... + 179000099.

It is an arithmetic number, because the mean of its divisors is an integer number (73584000).

Almost surely, 2^12709004544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12709004544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21192192000).

12709004544 is an abundant number, since it is smaller than the sum of its proper divisors (29675379456).

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

12709004544 is a wasteful number, since it uses less digits than its factorization.

12709004544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12709004544 in words is "twelve billion, seven hundred nine million, four thousand, five hundred forty-four".