12395566080 has 484 divisors, whose sum is σ = 45689850612. Its totient is φ = 3224862720.

The previous prime is 12395565979. The next prime is 12395566087. The reversal of 12395566080 is 8066559321.

12395566080 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 5 + 566 + 0 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2176782336 + 10218783744 = 46656^2 + 101088^2 .

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

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12395566087) by changing a digit.

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 43 ways as a sum of consecutive naturals, for example, 302330860 + ... + 302330900.

Almost surely, 2^12395566080 is an apocalyptic number.

12395566080 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 12395566080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22844925306).

12395566080 is an abundant number, since it is smaller than the sum of its proper divisors (33294284532).

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

12395566080 is an frugal number, since it uses more digits than its factorization.

12395566080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 12395566080 in words is "twelve billion, three hundred ninety-five million, five hundred sixty-six thousand, eighty".