12795052032 has 272 divisors, whose sum is σ = 43368772480. Its totient is φ = 3652190208.

The previous prime is 12795052031. The next prime is 12795052111. The reversal of 12795052032 is 23025059721.

12795052032 is a `hidden beast` number, since 12 + 7 + 95 + 0 + 520 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12795052031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12385788 + ... + 12386820.

Almost surely, 2^12795052032 is an apocalyptic number.

12795052032 is a gapful number since it is divisible by the number (12) 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 12795052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21684386240).

12795052032 is an abundant number, since it is smaller than the sum of its proper divisors (30573720448).

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

12795052032 is an frugal number, since it uses more digits than its factorization.

12795052032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 12795052032 in words is "twelve billion, seven hundred ninety-five million, fifty-two thousand, thirty-two".