10166488272 has 30 divisors (see below), whose sum is σ = 28452047442. Its totient is φ = 3388829376.

The previous prime is 10166488271. The next prime is 10166488273. The reversal of 10166488272 is 27288466101.

10166488272 is a `hidden beast` number, since 1 + 0 + 166 + 488 + 2 + 7 + 2 = 666.

10166488272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10166488271) and next prime (10166488273).

It can be written as a sum of positive squares in only one way, i.e., 6576561216 + 3589927056 = 81096^2 + 59916^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10166488271) 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 5 ways as a sum of consecutive naturals, for example, 35300163 + ... + 35300450.

Almost surely, 2^10166488272 is an apocalyptic number.

10166488272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10166488272 is an abundant number, since it is smaller than the sum of its proper divisors (18285559170).

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

10166488272 is a wasteful number, since it uses less digits than its factorization.

10166488272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70600627 (or 70600618 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 10166488272 in words is "ten billion, one hundred sixty-six million, four hundred eighty-eight thousand, two hundred seventy-two".