12827599048080 has 320 divisors, whose sum is σ = 45942188083200. Its totient is φ = 3286182666240.

The previous prime is 12827599048067. The next prime is 12827599048093. The reversal of 12827599048080 is 8084099572821.

12827599048080 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 75 + 9 + 9 + 0 + 480 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (12827599048067) and next prime (12827599048093).

It is a junction number, because it is equal to n+sod(n) for n = 12827599047999 and 12827599048017.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8474356 + ... + 9872684.

It is an arithmetic number, because the mean of its divisors is an integer number (143569337760).

Almost surely, 2^{12827599048080} is an apocalyptic number.

12827599048080 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 12827599048080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22971094041600).

12827599048080 is an abundant number, since it is smaller than the sum of its proper divisors (33114589035120).

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

12827599048080 is a wasteful number, since it uses less digits than its factorization.

12827599048080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398519 (or 1398507 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 12827599048080 in words is "twelve trillion, eight hundred twenty-seven billion, five hundred ninety-nine million, forty-eight thousand, eighty".