10172128960 has 56 divisors (see below), whose sum is σ = 27682728480. Its totient is φ = 3487586304.

The previous prime is 10172128957. The next prime is 10172128961. The reversal of 10172128960 is 6982127101.

10172128960 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 (56).

It is not an unprimeable number, because it can be changed into a prime (10172128961) 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, 2268325 + ... + 2272804.

Almost surely, 2^10172128960 is an apocalyptic number.

10172128960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10172128960 is an abundant number, since it is smaller than the sum of its proper divisors (17510599520).

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

10172128960 is an equidigital number, since it uses as much as digits as its factorization.

10172128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4541153 (or 4541143 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The spelling of 10172128960 in words is "ten billion, one hundred seventy-two million, one hundred twenty-eight thousand, nine hundred sixty".