12509074368 has 756 divisors, whose sum is σ = 47213105472. Its totient is φ = 3143024640.

The previous prime is 12509074343. The next prime is 12509074387. The reversal of 12509074368 is 86347090521.

12509074368 is a `hidden beast` number, since 12 + 509 + 0 + 74 + 3 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 403518513 + ... + 403518543.

It is a 1-persistent number, because it is pandigital, but 2⋅12509074368 = 25018148736 is not.

Almost surely, 2^12509074368 is an apocalyptic number.

12509074368 is a gapful number since it is divisible by the number (18) 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 12509074368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23606552736).

12509074368 is an abundant number, since it is smaller than the sum of its proper divisors (34704031104).

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

12509074368 is a wasteful number, since it uses less digits than its factorization.

12509074368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12509074368 in words is "twelve billion, five hundred nine million, seventy-four thousand, three hundred sixty-eight".