12827888640 has 264 divisors, whose sum is σ = 50799334560. Its totient is φ = 2932015104.

The previous prime is 12827888603. The next prime is 12827888651. The reversal of 12827888640 is 4688872821.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302676 + ... + 342444.

Almost surely, 2^12827888640 is an apocalyptic number.

12827888640 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 12827888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25399667280).

12827888640 is an abundant number, since it is smaller than the sum of its proper divisors (37971445920).

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

12827888640 is a wasteful number, since it uses less digits than its factorization.

12827888640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39807 (or 39786 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 12827888640 in words is "twelve billion, eight hundred twenty-seven million, eight hundred eighty-eight thousand, six hundred forty".