10081723579929 has 63 divisors (see below), whose sum is σ = 15804538773807. Its totient is φ = 6427667812896.

The previous prime is 10081723579927. The next prime is 10081723579943. The reversal of 10081723579929 is 92997532718001.

The square root of 10081723579929 is 3175173.

It is a perfect power (a square), and thus also a powerful number.

10081723579929 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 17 + 23 + 579 + 9 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 98348096025 + 9983375483904 = 313605^2 + 3159648^2 .

It is not a de Polignac number, because 10081723579929 - 2¹ = 10081723579927 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10081723579927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1971779877 + ... + 1971784989.

Almost surely, 2^{10081723579929} is an apocalyptic number.

10081723579929 is the 3175173-rd square number.

10081723579929 is the 1587587-th centered octagonal number.

It is an amenable number.

10081723579929 is a deficient number, since it is larger than the sum of its proper divisors (5722815193878).

10081723579929 is an frugal number, since it uses more digits than its factorization.

10081723579929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10290 (or 5139 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 10081723579929 in words is "ten trillion, eighty-one billion, seven hundred twenty-three million, five hundred seventy-nine thousand, nine hundred twenty-nine".