12952808960 has 480 divisors, whose sum is σ = 39968691840. Its totient is φ = 4012130304.

The previous prime is 12952808941. The next prime is 12952808971. The reversal of 12952808960 is 6980825921.

It is a super-3 number, since 3×12952808960³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12952808899 and 12952808908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275591657 + ... + 275591703.

It is an arithmetic number, because the mean of its divisors is an integer number (83268108).

Almost surely, 2^12952808960 is an apocalyptic number.

12952808960 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 12952808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19984345920).

12952808960 is an abundant number, since it is smaller than the sum of its proper divisors (27015882880).

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

12952808960 is an frugal number, since it uses more digits than its factorization.

12952808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 50.

The spelling of 12952808960 in words is "twelve billion, nine hundred fifty-two million, eight hundred eight thousand, nine hundred sixty".