12779739720 has 384 divisors, whose sum is σ = 49347792000. Its totient is φ = 2833367040.

The previous prime is 12779739659. The next prime is 12779739737. The reversal of 12779739720 is 2793797721.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2179032 + ... + 2184888.

It is an arithmetic number, because the mean of its divisors is an integer number (128509875).

Almost surely, 2^12779739720 is an apocalyptic number.

12779739720 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 12779739720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24673896000).

12779739720 is an abundant number, since it is smaller than the sum of its proper divisors (36568052280).

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

12779739720 is a wasteful number, since it uses less digits than its factorization.

12779739720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5933 (or 5926 counting only the distinct ones).

The product of its (nonzero) digits is 2333772, while the sum is 54.

The spelling of 12779739720 in words is "twelve billion, seven hundred seventy-nine million, seven hundred thirty-nine thousand, seven hundred twenty".