12719669760 has 960 divisors, whose sum is σ = 54908485632. Its totient is φ = 2759049216.

The previous prime is 12719669749. The next prime is 12719669761. The reversal of 12719669760 is 6796691721.

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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 12719669697 and 12719669706.

It is not an unprimeable number, because it can be changed into a prime (12719669761) 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 95 ways as a sum of consecutive naturals, for example, 100154817 + ... + 100154943.

Almost surely, 2^12719669760 is an apocalyptic number.

12719669760 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 12719669760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27454242816).

12719669760 is an abundant number, since it is smaller than the sum of its proper divisors (42188815872).

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

12719669760 is an equidigital number, since it uses as much as digits as its factorization.

12719669760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 12719669760 in words is "twelve billion, seven hundred nineteen million, six hundred sixty-nine thousand, seven hundred sixty".