10506066560506 has 64 divisors (see below), whose sum is σ = 17739061627392. Its totient is φ = 4625268480000.

The previous prime is 10506066560497. The next prime is 10506066560537. The reversal of 10506066560506 is 60506566060501.

10506066560506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10506066560506² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68611726 + ... + 68764678.

It is an arithmetic number, because the mean of its divisors is an integer number (277172837928).

Almost surely, 2^{10506066560506} is an apocalyptic number.

10506066560506 is a deficient number, since it is larger than the sum of its proper divisors (7232995066886).

10506066560506 is a wasteful number, since it uses less digits than its factorization.

10506066560506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153559.

The product of its (nonzero) digits is 972000, while the sum is 46.

The spelling of 10506066560506 in words is "ten trillion, five hundred six billion, sixty-six million, five hundred sixty thousand, five hundred six".