10004720271 has 64 divisors (see below), whose sum is σ = 16786344960. Its totient is φ = 5159531520.

The previous prime is 10004720249. The next prime is 10004720273. The reversal of 10004720271 is 17202740001.

10004720271 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10004720271 - 2¹⁰ = 10004719247 is a prime.

It is a super-3 number, since 3×10004720271³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004720273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4788195 + ... + 4790283.

It is an arithmetic number, because the mean of its divisors is an integer number (262286640).

Almost surely, 2^10004720271 is an apocalyptic number.

10004720271 is a deficient number, since it is larger than the sum of its proper divisors (6781624689).

10004720271 is a wasteful number, since it uses less digits than its factorization.

10004720271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496.

The product of its (nonzero) digits is 784, while the sum is 24.

The spelling of 10004720271 in words is "ten billion, four million, seven hundred twenty thousand, two hundred seventy-one".