10928792272671 has 144 divisors (see below), whose sum is σ = 20247315536448. Its totient is φ = 5744034777600.

The previous prime is 10928792272669. The next prime is 10928792272693. The reversal of 10928792272671 is 17627229782901.

10928792272671 is a `hidden beast` number, since 1 + 0 + 9 + 287 + 92 + 2 + 7 + 267 + 1 = 666.

It is not a de Polignac number, because 10928792272671 - 2¹ = 10928792272669 is a prime.

It is a super-2 number, since 2×10928792272671² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 10928792272599 and 10928792272608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10928792272771) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 167738761 + ... + 167803901.

It is an arithmetic number, because the mean of its divisors is an integer number (140606357892).

Almost surely, 2^{10928792272671} is an apocalyptic number.

10928792272671 is a deficient number, since it is larger than the sum of its proper divisors (9318523263777).

10928792272671 is an frugal number, since it uses more digits than its factorization.

10928792272671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65466 (or 65445 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 10928792272671 in words is "ten trillion, nine hundred twenty-eight billion, seven hundred ninety-two million, two hundred seventy-two thousand, six hundred seventy-one".