12827168640 has 1024 divisors, whose sum is σ = 55520640000. Its totient is φ = 2755952640.

The previous prime is 12827168579. The next prime is 12827168663. The reversal of 12827168640 is 4686172821.

12827168640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 71660071 + ... + 71660249.

It is an arithmetic number, because the mean of its divisors is an integer number (54219375).

Almost surely, 2^12827168640 is an apocalyptic number.

12827168640 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 12827168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27760320000).

12827168640 is an abundant number, since it is smaller than the sum of its proper divisors (42693471360).

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

12827168640 is a wasteful number, since it uses less digits than its factorization.

12827168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 242 counting only the distinct ones).

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

The spelling of 12827168640 in words is "twelve billion, eight hundred twenty-seven million, one hundred sixty-eight thousand, six hundred forty".