10113273792768 has 288 divisors, whose sum is σ = 28170208636416. Its totient is φ = 3218296766464.

The previous prime is 10113273792767. The next prime is 10113273792889. The reversal of 10113273792768 is 86729737231101.

It is not an unprimeable number, because it can be changed into a prime (10113273792767) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 330948946 + ... + 330979502.

It is an arithmetic number, because the mean of its divisors is an integer number (97813224432).

Almost surely, 2^{10113273792768} 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 10113273792768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14085104318208).

10113273792768 is an abundant number, since it is smaller than the sum of its proper divisors (18056934843648).

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

10113273792768 is a wasteful number, since it uses less digits than its factorization.

10113273792768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30849 (or 30835 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 57.

The spelling of 10113273792768 in words is "ten trillion, one hundred thirteen billion, two hundred seventy-three million, seven hundred ninety-two thousand, seven hundred sixty-eight".