12827162880 has 432 divisors, whose sum is σ = 51439140480. Its totient is φ = 2890432512.

The previous prime is 12827162867. The next prime is 12827162891. The reversal of 12827162880 is 8826172821.

It is a happy number.

12827162880 is a `hidden beast` number, since 12 + 8 + 2 + 7 + 1 + 628 + 8 + 0 = 666.

12827162880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12827162880² (a number of 21 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 5885631 + ... + 5887809.

Almost surely, 2^12827162880 is an apocalyptic number.

12827162880 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 12827162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25719570240).

12827162880 is an abundant number, since it is smaller than the sum of its proper divisors (38611977600).

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

12827162880 is a wasteful number, since it uses less digits than its factorization.

12827162880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 12827162880 in words is "twelve billion, eight hundred twenty-seven million, one hundred sixty-two thousand, eight hundred eighty".