12517039591056 has 2880 divisors, whose sum is σ = 53524074240000. Its totient is φ = 2738983403520.

The previous prime is 12517039591051. The next prime is 12517039591103. The reversal of 12517039591056 is 65019593071521.

It is a happy number.

12517039591056 is a `hidden beast` number, since 1 + 2 + 5 + 17 + 0 + 39 + 591 + 0 + 5 + 6 = 666.

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 = 12517039590993 and 12517039591011.

It is not an unprimeable number, because it can be changed into a prime (12517039591051) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 27877593520 + ... + 27877593968.

It is an arithmetic number, because the mean of its divisors is an integer number (18584748000).

Almost surely, 2^{12517039591056} is an apocalyptic number.

12517039591056 is a gapful number since it is divisible by the number (16) 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 12517039591056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26762037120000).

12517039591056 is an abundant number, since it is smaller than the sum of its proper divisors (41007034648944).

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

12517039591056 is a wasteful number, since it uses less digits than its factorization.

12517039591056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2551500, while the sum is 54.

The spelling of 12517039591056 in words is "twelve trillion, five hundred seventeen billion, thirty-nine million, five hundred ninety-one thousand, fifty-six".