12795068160 has 648 divisors, whose sum is σ = 54253115280. Its totient is φ = 2768338944.

The previous prime is 12795068149. The next prime is 12795068183. The reversal of 12795068160 is 6186059721.

12795068160 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 506 + 81 + 60 = 666.

12795068160 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 71 ways as a sum of consecutive naturals, for example, 10724524 + ... + 10725716.

Almost surely, 2^12795068160 is an apocalyptic number.

12795068160 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 12795068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27126557640).

12795068160 is an abundant number, since it is smaller than the sum of its proper divisors (41458047120).

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

12795068160 is a wasteful number, since it uses less digits than its factorization.

12795068160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 12795068160 in words is "twelve billion, seven hundred ninety-five million, sixty-eight thousand, one hundred sixty".