10773828087201 has 27 divisors (see below), whose sum is σ = 15646006978329. Its totient is φ = 7144076339712.

The previous prime is 10773828087199. The next prime is 10773828087223. The reversal of 10773828087201 is 10278082837701.

The square root of 10773828087201 is 3282351.

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

10773828087201 is a `hidden beast` number, since 10 + 7 + 73 + 8 + 280 + 87 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2880402980625 + 7893425106576 = 1697175^2 + 2809524^2 .

It is not a de Polignac number, because 10773828087201 - 2¹ = 10773828087199 is a prime.

It is a super-2 number, since 2×10773828087201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10773828087401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1900478395 + ... + 1900484063.

Almost surely, 2^{10773828087201} is an apocalyptic number.

10773828087201 is the 3282351-st square number.

10773828087201 is the 1641176-th centered octagonal number.

It is an amenable number.

10773828087201 is a deficient number, since it is larger than the sum of its proper divisors (4872178891128).

10773828087201 is an frugal number, since it uses more digits than its factorization.

10773828087201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11730 (or 5865 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The spelling of 10773828087201 in words is "ten trillion, seven hundred seventy-three billion, eight hundred twenty-eight million, eighty-seven thousand, two hundred one".