10557866008369 has 9 divisors (see below), whose sum is σ = 10733984665131. Its totient is φ = 10384591280520.

The previous prime is 10557866008367. The next prime is 10557866008433. The reversal of 10557866008369 is 96380066875501.

The square root of 10557866008369 is 3249287.

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., 343322167969 + 10214543840400 = 585937^2 + 3196020^2 .

It is not a de Polignac number, because 10557866008369 - 2¹ = 10557866008367 is a prime.

It is a super-2 number, since 2×10557866008369² (a number of 27 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 10557866008369.

It is not an unprimeable number, because it can be changed into a prime (10557866008367) 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 8 ways as a sum of consecutive naturals, for example, 198179874 + ... + 198233140.

Almost surely, 2^{10557866008369} is an apocalyptic number.

10557866008369 is the 3249287-th square number.

10557866008369 is the 1624644-th centered octagonal number.

It is an amenable number.

10557866008369 is a deficient number, since it is larger than the sum of its proper divisors (176118656762).

10557866008369 is an frugal number, since it uses more digits than its factorization.

10557866008369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106656 (or 53328 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 64.

Multiplying 10557866008369 by its sum of digits (64), we get a square (675703424535616 = 25994296²).

The spelling of 10557866008369 in words is "ten trillion, five hundred fifty-seven billion, eight hundred sixty-six million, eight thousand, three hundred sixty-nine".