10486460505213 has 120 divisors (see below), whose sum is σ = 20313084126720. Its totient is φ = 5271784689600.

The previous prime is 10486460505181. The next prime is 10486460505319. The reversal of 10486460505213 is 31250506468401.

10486460505213 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 64 + 60 + 5 + 0 + 521 + 3 = 666.

It is not a de Polignac number, because 10486460505213 - 2⁵ = 10486460505181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10486460505713) 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, 338478 + ... + 4592111.

It is an arithmetic number, because the mean of its divisors is an integer number (169275701056).

Almost surely, 2^{10486460505213} is an apocalyptic number.

It is an amenable number.

10486460505213 is a deficient number, since it is larger than the sum of its proper divisors (9826623621507).

10486460505213 is a wasteful number, since it uses less digits than its factorization.

10486460505213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930661 (or 4930641 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 10486460505213 in words is "ten trillion, four hundred eighty-six billion, four hundred sixty million, five hundred five thousand, two hundred thirteen".