10736159985664 has 39 divisors (see below), whose sum is σ = 21470118201337. Its totient is φ = 5367975141376.

The previous prime is 10736159985631. The next prime is 10736159985689. The reversal of 10736159985664 is 46658995163701.

The square root of 10736159985664 is 3276608.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10634903654400 + 101256331264 = 3261120^2 + 318208^2 .

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10736159985593 and 10736159985602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 209677314 + ... + 209728510.

Almost surely, 2^{10736159985664} is an apocalyptic number.

10736159985664 is the 3276608-th square number.

It is an amenable number.

10736159985664 is a deficient number, since it is larger than the sum of its proper divisors (10733958215673).

10736159985664 is an frugal number, since it uses more digits than its factorization.

10736159985664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102418 (or 51199 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 70.

The spelling of 10736159985664 in words is "ten trillion, seven hundred thirty-six billion, one hundred fifty-nine million, nine hundred eighty-five thousand, six hundred sixty-four".