10504607727231 has 120 divisors (see below), whose sum is σ = 16624118952672. Its totient is φ = 6597220608000.

The previous prime is 10504607727223. The next prime is 10504607727269. The reversal of 10504607727231 is 13272770640501.

10504607727231 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 4 + 607 + 7 + 2 + 7 + 2 + 31 = 666.

It is not a de Polignac number, because 10504607727231 - 2³ = 10504607727223 is a prime.

It is a super-2 number, since 2×10504607727231² (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 (10504607723231) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17478548331 + ... + 17478548931.

Almost surely, 2^{10504607727231} is an apocalyptic number.

10504607727231 is a deficient number, since it is larger than the sum of its proper divisors (6119511225441).

10504607727231 is an frugal number, since it uses more digits than its factorization.

10504607727231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 10504607727231 in words is "ten trillion, five hundred four billion, six hundred seven million, seven hundred twenty-seven thousand, two hundred thirty-one".