12779182080 has 960 divisors, whose sum is σ = 54797783040. Its totient is φ = 2786918400.

The previous prime is 12779182061. The next prime is 12779182123. The reversal of 12779182080 is 8028197721.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 179988445 + ... + 179988515.

It is an arithmetic number, because the mean of its divisors is an integer number (57081024).

Almost surely, 2^12779182080 is an apocalyptic number.

12779182080 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 12779182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27398891520).

12779182080 is an abundant number, since it is smaller than the sum of its proper divisors (42018600960).

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

12779182080 is an equidigital number, since it uses as much as digits as its factorization.

12779182080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 12779182080 in words is "twelve billion, seven hundred seventy-nine million, one hundred eighty-two thousand, eighty".