10167728080 has 80 divisors (see below), whose sum is σ = 24173095680. Its totient is φ = 3975589376.

The previous prime is 10167728071. The next prime is 10167728111. The reversal of 10167728080 is 8082776101.

10167728080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4913286 + ... + 4915354.

It is an arithmetic number, because the mean of its divisors is an integer number (302163696).

Almost surely, 2^10167728080 is an apocalyptic number.

10167728080 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 10167728080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12086547840).

10167728080 is an abundant number, since it is smaller than the sum of its proper divisors (14005367600).

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

10167728080 is a wasteful number, since it uses less digits than its factorization.

10167728080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 40.

The spelling of 10167728080 in words is "ten billion, one hundred sixty-seven million, seven hundred twenty-eight thousand, eighty".