12819948560 has 40 divisors (see below), whose sum is σ = 30095782080. Its totient is φ = 5078189952.

The previous prime is 12819948499. The next prime is 12819948569. The reversal of 12819948560 is 6584991821.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (12819948569) 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 7 ways as a sum of consecutive naturals, for example, 769670 + ... + 786149.

It is an arithmetic number, because the mean of its divisors is an integer number (752394552).

Almost surely, 2^12819948560 is an apocalyptic number.

12819948560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12819948560 is an abundant number, since it is smaller than the sum of its proper divisors (17275833520).

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

12819948560 is a wasteful number, since it uses less digits than its factorization.

12819948560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555935 (or 1555929 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 53.

The spelling of 12819948560 in words is "twelve billion, eight hundred nineteen million, nine hundred forty-eight thousand, five hundred sixty".