12827185920 has 180 divisors, whose sum is σ = 45898387920. Its totient is φ = 3420555264.

The previous prime is 12827185909. The next prime is 12827185927. The reversal of 12827185920 is 2958172821.

12827185920 is a `hidden beast` number, since 1 + 28 + 27 + 18 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (12827185927) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41821 + ... + 165539.

It is an arithmetic number, because the mean of its divisors is an integer number (254991044).

Almost surely, 2^12827185920 is an apocalyptic number.

12827185920 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 12827185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22949193960).

12827185920 is an abundant number, since it is smaller than the sum of its proper divisors (33071202000).

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

12827185920 is an equidigital number, since it uses as much as digits as its factorization.

12827185920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123752 (or 123729 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 12827185920 in words is "twelve billion, eight hundred twenty-seven million, one hundred eighty-five thousand, nine hundred twenty".