10726894123008 has 1152 divisors, whose sum is σ = 35110037813760. Its totient is φ = 2901615575040.

The previous prime is 10726894122953. The next prime is 10726894123079. The reversal of 10726894123008 is 80032149862701.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100251346891 + ... + 100251346997.

It is an arithmetic number, because the mean of its divisors is an integer number (30477463380).

Almost surely, 2^{10726894123008} 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 10726894123008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17555018906880).

10726894123008 is an abundant number, since it is smaller than the sum of its proper divisors (24383143690752).

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

10726894123008 is a wasteful number, since it uses less digits than its factorization.

10726894123008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 10726894123008 in words is "ten trillion, seven hundred twenty-six billion, eight hundred ninety-four million, one hundred twenty-three thousand, eight".