12719814082560 has 812 divisors, whose sum is σ = 49291192080732. Its totient is φ = 3131031158784.

The previous prime is 12719814082511. The next prime is 12719814082567. The reversal of 12719814082560 is 6528041891721.

12719814082560 is a `hidden beast` number, since 1 + 2 + 71 + 9 + 8 + 1 + 4 + 0 + 8 + 2 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3131031158784 + 9588782923776 = 1769472^2 + 3096576^2 .

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 = 12719814082497 and 12719814082506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12719814082567) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 978447237114 + ... + 978447237126.

Almost surely, 2^{12719814082560} is an apocalyptic number.

12719814082560 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 12719814082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24645596040366).

12719814082560 is an abundant number, since it is smaller than the sum of its proper divisors (36571377998172).

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

12719814082560 is an frugal number, since it uses more digits than its factorization.

12719814082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 23 counting only the distinct ones).

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

The spelling of 12719814082560 in words is "twelve trillion, seven hundred nineteen billion, eight hundred fourteen million, eighty-two thousand, five hundred sixty".