10517586340506 has 192 divisors, whose sum is σ = 25491174718464. Its totient is φ = 2881455897600.

The previous prime is 10517586340493. The next prime is 10517586340631. The reversal of 10517586340506 is 60504368571501.

It is a super-2 number, since 2×10517586340506² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 456937110 + ... + 456960126.

It is an arithmetic number, because the mean of its divisors is an integer number (132766534992).

Almost surely, 2^{10517586340506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10517586340506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12745587359232).

10517586340506 is an abundant number, since it is smaller than the sum of its proper divisors (14973588377958).

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

10517586340506 is a wasteful number, since it uses less digits than its factorization.

10517586340506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23525 (or 23518 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The spelling of 10517586340506 in words is "ten trillion, five hundred seventeen billion, five hundred eighty-six million, three hundred forty thousand, five hundred six".