10717412872516 has 81 divisors (see below), whose sum is σ = 21947391645501. Its totient is φ = 4566011401056.

The previous prime is 10717412872511. The next prime is 10717412872549. The reversal of 10717412872516 is 61527821471701.

The square root of 10717412872516 is 3273746.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10500905060100 + 216507812416 = 3240510^2 + 465304^2 .

It is a super-2 number, since 2×10717412872516² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10717412872511) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 9028990875 + ... + 9028992061.

Almost surely, 2^{10717412872516} is an apocalyptic number.

10717412872516 is the 3273746-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10717412872516

10717412872516 is an abundant number, since it is smaller than the sum of its proper divisors (11229978772985).

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

10717412872516 is an frugal number, since it uses more digits than its factorization.

10717412872516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 52.

The spelling of 10717412872516 in words is "ten trillion, seven hundred seventeen billion, four hundred twelve million, eight hundred seventy-two thousand, five hundred sixteen".