12719982240 has 288 divisors, whose sum is σ = 50665305600. Its totient is φ = 2845458432.

The previous prime is 12719982203. The next prime is 12719982241. The reversal of 12719982240 is 4228991721.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (12719982241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460336 + ... + 487184.

It is an arithmetic number, because the mean of its divisors is an integer number (175921200).

Almost surely, 2^12719982240 is an apocalyptic number.

12719982240 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 12719982240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25332652800).

12719982240 is an abundant number, since it is smaller than the sum of its proper divisors (37945323360).

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

12719982240 is a wasteful number, since it uses less digits than its factorization.

12719982240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26924 (or 26913 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 12719982240 in words is "twelve billion, seven hundred nineteen million, nine hundred eighty-two thousand, two hundred forty".