12688078328640 has 504 divisors, whose sum is σ = 51553103647968. Its totient is φ = 2839289057280.

The previous prime is 12688078328623. The next prime is 12688078328657. The reversal of 12688078328640 is 4682387088621.

12688078328640 is a `hidden beast` number, since 1 + 268 + 8 + 0 + 7 + 8 + 328 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (12688078328623) and next prime (12688078328657).

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 71 ways as a sum of consecutive naturals, for example, 4168987 + ... + 6538853.

Almost surely, 2^{12688078328640} is an apocalyptic number.

12688078328640 is a gapful number since it is divisible by the number (10) 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 12688078328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25776551823984).

12688078328640 is an abundant number, since it is smaller than the sum of its proper divisors (38865025319328).

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

12688078328640 is a wasteful number, since it uses less digits than its factorization.

12688078328640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369927 (or 2369901 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 12688078328640 in words is "twelve trillion, six hundred eighty-eight billion, seventy-eight million, three hundred twenty-eight thousand, six hundred forty".