12962748960 has 288 divisors, whose sum is σ = 50882936832. Its totient is φ = 2943682560.

The previous prime is 12962748923. The next prime is 12962748961. The reversal of 12962748960 is 6984726921.

12962748960 is a `hidden beast` number, since 1 + 2 + 9 + 627 + 4 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 12962748897 and 12962748906.

It is not an unprimeable number, because it can be changed into a prime (12962748961) 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 47 ways as a sum of consecutive naturals, for example, 1578465 + ... + 1586655.

It is an arithmetic number, because the mean of its divisors is an integer number (176676864).

Almost surely, 2^12962748960 is an apocalyptic number.

12962748960 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 12962748960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25441468416).

12962748960 is an abundant number, since it is smaller than the sum of its proper divisors (37920187872).

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

12962748960 is a wasteful number, since it uses less digits than its factorization.

12962748960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8376 (or 8365 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 12962748960 in words is "twelve billion, nine hundred sixty-two million, seven hundred forty-eight thousand, nine hundred sixty".