12508902810432 has 672 divisors, whose sum is σ = 44034246297600. Its totient is φ = 3317066919936.

The previous prime is 12508902810407. The next prime is 12508902810451. The reversal of 12508902810432 is 23401820980521.

12508902810432 is a `hidden beast` number, since 1 + 2 + 50 + 8 + 90 + 2 + 81 + 0 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1300432119 + ... + 1300441737.

Almost surely, 2^{12508902810432} is an apocalyptic number.

12508902810432 is a gapful number since it is divisible by the number (12) 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 12508902810432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22017123148800).

12508902810432 is an abundant number, since it is smaller than the sum of its proper divisors (31525343487168).

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

12508902810432 is a wasteful number, since it uses less digits than its factorization.

12508902810432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10083 (or 10070 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 12508902810432 in words is "twelve trillion, five hundred eight billion, nine hundred two million, eight hundred ten thousand, four hundred thirty-two".