10803627635966 has 16 divisors (see below), whose sum is σ = 18718584781680. Its totient is φ = 4621872785280.

The previous prime is 10803627635923. The next prime is 10803627635987. The reversal of 10803627635966 is 66953672630801.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10803627635899 and 10803627635908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14443352081 + ... + 14443352828.

It is an arithmetic number, because the mean of its divisors is an integer number (1169911548855).

Almost surely, 2^{10803627635966} is an apocalyptic number.

10803627635966 is a deficient number, since it is larger than the sum of its proper divisors (7914957145714).

10803627635966 is a wasteful number, since it uses less digits than its factorization.

10803627635966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28886704939.

The product of its (nonzero) digits is 58786560, while the sum is 62.

The spelling of 10803627635966 in words is "ten trillion, eight hundred three billion, six hundred twenty-seven million, six hundred thirty-five thousand, nine hundred sixty-six".