12759777920 has 64 divisors (see below), whose sum is σ = 30663843840. Its totient is φ = 5077140480.

The previous prime is 12759777911. The next prime is 12759777937. The reversal of 12759777920 is 2977795721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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, 70049 + ... + 174431.

It is an arithmetic number, because the mean of its divisors is an integer number (479122560).

Almost surely, 2^12759777920 is an apocalyptic number.

12759777920 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 12759777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15331921920).

12759777920 is an abundant number, since it is smaller than the sum of its proper divisors (17904065920).

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

12759777920 is a wasteful number, since it uses less digits than its factorization.

12759777920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104593 (or 104581 counting only the distinct ones).

The product of its (nonzero) digits is 3889620, while the sum is 56.

The spelling of 12759777920 in words is "twelve billion, seven hundred fifty-nine million, seven hundred seventy-seven thousand, nine hundred twenty".