10126967760 has 320 divisors, whose sum is σ = 42932252160. Its totient is φ = 2136637440.

The previous prime is 10126967731. The next prime is 10126967761. The reversal of 10126967760 is 6776962101.

It is a happy number.

10126967760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10126967761) 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 63 ways as a sum of consecutive naturals, for example, 170800 + ... + 222320.

It is an arithmetic number, because the mean of its divisors is an integer number (134163288).

Almost surely, 2^10126967760 is an apocalyptic number.

10126967760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10126967760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21466126080).

10126967760 is an abundant number, since it is smaller than the sum of its proper divisors (32805284400).

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

10126967760 is a wasteful number, since it uses less digits than its factorization.

10126967760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51563 (or 51551 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 10126967760 in words is "ten billion, one hundred twenty-six million, nine hundred sixty-seven thousand, seven hundred sixty".