10272705637671 has 24 divisors (see below), whose sum is σ = 15388076667600. Its totient is φ = 6848401234752.

The previous prime is 10272705637661. The next prime is 10272705637783. The reversal of 10272705637671 is 17673650727201.

10272705637671 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 2 + 7 + 0 + 563 + 7 + 6 + 71 = 666.

It is not a de Polignac number, because 10272705637671 - 2²⁶ = 10272638528807 is a prime.

It is a super-2 number, since 2×10272705637671² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10272705637631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37735681 + ... + 38006933.

It is an arithmetic number, because the mean of its divisors is an integer number (641169861150).

Almost surely, 2^{10272705637671} is an apocalyptic number.

10272705637671 is a deficient number, since it is larger than the sum of its proper divisors (5115371029929).

10272705637671 is an equidigital number, since it uses as much as digits as its factorization.

10272705637671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427117 (or 427105 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 54.

The spelling of 10272705637671 in words is "ten trillion, two hundred seventy-two billion, seven hundred five million, six hundred thirty-seven thousand, six hundred seventy-one".