10004005993921 has 27 divisors (see below), whose sum is σ = 10738102816233. Its totient is φ = 9318694904640.

The previous prime is 10004005993909. The next prime is 10004005993987. The reversal of 10004005993921 is 12939950040001.

The square root of 10004005993921 is 3162911.

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

10004005993921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1081686321 + 10002924307600 = 32889^2 + 3162740^2 .

It is not a de Polignac number, because 10004005993921 - 2⁹ = 10004005993409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10004005991921) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3665812485 + ... + 3665815213.

Almost surely, 2^{10004005993921} is an apocalyptic number.

10004005993921 is the 3162911-st square number.

10004005993921 is the 1581456-th centered octagonal number.

It is an amenable number.

10004005993921 is a deficient number, since it is larger than the sum of its proper divisors (734096822312).

10004005993921 is an frugal number, since it uses more digits than its factorization.

10004005993921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5618 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 43.

The spelling of 10004005993921 in words is "ten trillion, four billion, five million, nine hundred ninety-three thousand, nine hundred twenty-one".