2056680096769 has 27 divisors (see below), whose sum is σ = 2121010923843. Its totient is φ = 1994289010704.

The previous prime is 2056680096767. The next prime is 2056680096827. The reversal of 2056680096769 is 9676900866502.

The square root of 2056680096769 is 1434113.

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., 1433496160369 + 623183936400 = 1197287^2 + 789420^2 .

It is not a de Polignac number, because 2056680096769 - 2¹ = 2056680096767 is a prime.

It is a super-2 number, since 2×2056680096769² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2056680096769.

It is not an unprimeable number, because it can be changed into a prime (2056680096767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9222780592 + ... + 9222780814.

Almost surely, 2^{2056680096769} is an apocalyptic number.

2056680096769 is the 1434113-rd square number.

2056680096769 is the 717057-th centered octagonal number.

It is an amenable number.

2056680096769 is a deficient number, since it is larger than the sum of its proper divisors (64330827074).

2056680096769 is an frugal number, since it uses more digits than its factorization.

2056680096769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 64.

Multiplying 2056680096769 by its sum of digits (64), we get a square (131627526193216 = 11472904²).

The spelling of 2056680096769 in words is "two trillion, fifty-six billion, six hundred eighty million, ninety-six thousand, seven hundred sixty-nine".