12607088832 has 336 divisors, whose sum is σ = 40757563392. Its totient is φ = 3840721920.

The previous prime is 12607088821. The next prime is 12607088849. The reversal of 12607088832 is 23888070621.

12607088832 is a `hidden beast` number, since 1 + 2 + 607 + 0 + 8 + 8 + 8 + 32 = 666.

12607088832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25676107 + ... + 25676597.

It is an arithmetic number, because the mean of its divisors is an integer number (121302272).

Almost surely, 2^12607088832 is an apocalyptic number.

12607088832 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 12607088832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20378781696).

12607088832 is an abundant number, since it is smaller than the sum of its proper divisors (28150474560).

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

12607088832 is a wasteful number, since it uses less digits than its factorization.

12607088832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 12607088832 in words is "twelve billion, six hundred seven million, eighty-eight thousand, eight hundred thirty-two".