12788658432 has 324 divisors, whose sum is σ = 42055504400. Its totient is φ = 3873070080.

The previous prime is 12788658359. The next prime is 12788658557. The reversal of 12788658432 is 23485688721.

12788658432 is a `hidden beast` number, since 1 + 27 + 8 + 8 + 6 + 584 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7526319 + ... + 7528017.

Almost surely, 2^12788658432 is an apocalyptic number.

12788658432 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 12788658432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21027752200).

12788658432 is an abundant number, since it is smaller than the sum of its proper divisors (29266845968).

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

12788658432 is an equidigital number, since it uses as much as digits as its factorization.

12788658432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1715 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 12788658432 in words is "twelve billion, seven hundred eighty-eight million, six hundred fifty-eight thousand, four hundred thirty-two".