10010728816 has 120 divisors (see below), whose sum is σ = 23167961600. Its totient is φ = 4171305600.

The previous prime is 10010728813. The next prime is 10010728823. The reversal of 10010728816 is 61882701001.

10010728816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010728813) 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 23 ways as a sum of consecutive naturals, for example, 1135915 + ... + 1144693.

Almost surely, 2^10010728816 is an apocalyptic number.

10010728816 is a gapful number since it is divisible by the number (16) 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 10010728816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11583980800).

10010728816 is an abundant number, since it is smaller than the sum of its proper divisors (13157232784).

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

10010728816 is a wasteful number, since it uses less digits than its factorization.

10010728816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8859 (or 8842 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 34.

The spelling of 10010728816 in words is "ten billion, ten million, seven hundred twenty-eight thousand, eight hundred sixteen".