10126468538368 has 672 divisors, whose sum is σ = 27039831140448. Its totient is φ = 3745618329600.

The previous prime is 10126468538363. The next prime is 10126468538393. The reversal of 10126468538368 is 86383586462101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10126468538363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18718056178 + ... + 18718056718.

It is an arithmetic number, because the mean of its divisors is an integer number (40237843959).

Almost surely, 2^{10126468538368} 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 10126468538368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13519915570224).

10126468538368 is an abundant number, since it is smaller than the sum of its proper divisors (16913362602080).

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

10126468538368 is a wasteful number, since it uses less digits than its factorization.

10126468538368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 61.

The spelling of 10126468538368 in words is "ten trillion, one hundred twenty-six billion, four hundred sixty-eight million, five hundred thirty-eight thousand, three hundred sixty-eight".