10726171718784 has 128 divisors (see below), whose sum is σ = 28627984370880. Its totient is φ = 3558262026240.

The previous prime is 10726171718771. The next prime is 10726171718819. The reversal of 10726171718784 is 48781717162701.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238905042 + ... + 238949934.

Almost surely, 2^{10726171718784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10726171718784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14313992185440).

10726171718784 is an abundant number, since it is smaller than the sum of its proper divisors (17901812652096).

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

10726171718784 is a wasteful number, since it uses less digits than its factorization.

10726171718784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47878 (or 47866 counting only the distinct ones).

The product of its (nonzero) digits is 7375872, while the sum is 60.

The spelling of 10726171718784 in words is "ten trillion, seven hundred twenty-six billion, one hundred seventy-one million, seven hundred eighteen thousand, seven hundred eighty-four".