10791934571664 has 75 divisors (see below), whose sum is σ = 31235331937513. Its totient is φ = 3597272102592.

The previous prime is 10791934571659. The next prime is 10791934571669. The reversal of 10791934571664 is 46617543919701.

The square root of 10791934571664 is 3285108.

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

10791934571664 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 19 + 3 + 457 + 166 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10791934571659) and next prime (10791934571669).

It can be written as a sum of positive squares in only one way, i.e., 10768767296400 + 23167275264 = 3281580^2 + 152208^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10791934571669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 118218262 + ... + 118309514.

Almost surely, 2^{10791934571664} is an apocalyptic number.

10791934571664 is the 3285108-th square number.

It is an amenable number.

10791934571664 is an abundant number, since it is smaller than the sum of its proper divisors (20443397365849).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10791934571664 is an frugal number, since it uses more digits than its factorization.

10791934571664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182526 (or 91258 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 10791934571664 in words is "ten trillion, seven hundred ninety-one billion, nine hundred thirty-four million, five hundred seventy-one thousand, six hundred sixty-four".