12517313402880 has 1152 divisors, whose sum is σ = 51288639816960. Its totient is φ = 2783414845440.

The previous prime is 12517313402861. The next prime is 12517313402911. The reversal of 12517313402880 is 8820431371521.

12517313402880 is a `hidden beast` number, since 1 + 2 + 5 + 17 + 313 + 40 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2148154527 + ... + 2148160353.

It is an arithmetic number, because the mean of its divisors is an integer number (44521388730).

Almost surely, 2^{12517313402880} is an apocalyptic number.

12517313402880 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 12517313402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25644319908480).

12517313402880 is an abundant number, since it is smaller than the sum of its proper divisors (38771326414080).

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

12517313402880 is a wasteful number, since it uses less digits than its factorization.

12517313402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6047 (or 6024 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 12517313402880 in words is "twelve trillion, five hundred seventeen billion, three hundred thirteen million, four hundred two thousand, eight hundred eighty".