10120717888 has 56 divisors (see below), whose sum is σ = 21116650680. Its totient is φ = 4805713920.

The previous prime is 10120717879. The next prime is 10120717889. The reversal of 10120717888 is 88871702101.

10120717888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 95101504 + 10025616384 = 9752^2 + 100128^2 .

It is not an unprimeable number, because it can be changed into a prime (10120717889) 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 7 ways as a sum of consecutive naturals, for example, 68520 + ... + 157912.

Almost surely, 2^10120717888 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 10120717888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10558325340).

10120717888 is an abundant number, since it is smaller than the sum of its proper divisors (10995932792).

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

10120717888 is an equidigital number, since it uses as much as digits as its factorization.

10120717888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89495 (or 89485 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 43.

The spelling of 10120717888 in words is "ten billion, one hundred twenty million, seven hundred seventeen thousand, eight hundred eighty-eight".