12719814082506 has 128 divisors (see below), whose sum is σ = 29321625715200. Its totient is φ = 4084375173120.

The previous prime is 12719814082487. The next prime is 12719814082511. The reversal of 12719814082506 is 60528041891721.

12719814082506 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 98 + 1 + 40 + 8 + 2 + 506 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143208046 + ... + 143296838.

It is an arithmetic number, because the mean of its divisors is an integer number (229075200900).

Almost surely, 2^{12719814082506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12719814082506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14660812857600).

12719814082506 is an abundant number, since it is smaller than the sum of its proper divisors (16601811632694).

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

12719814082506 is a wasteful number, since it uses less digits than its factorization.

12719814082506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89661 (or 89655 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 12719814082506 in words is "twelve trillion, seven hundred nineteen billion, eight hundred fourteen million, eighty-two thousand, five hundred six".