10552667789169 has 225 divisors, whose sum is σ = 18418121000235. Its totient is φ = 6020355987360.

The previous prime is 10552667789143. The next prime is 10552667789177. The reversal of 10552667789169 is 96198776625501.

The square root of 10552667789169 is 3248487.

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

10552667789169 is a `hidden beast` number, since 1 + 0 + 5 + 526 + 6 + 7 + 7 + 8 + 91 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3093148800225 + 7459518988944 = 1758735^2 + 2731212^2 .

It is not a de Polignac number, because 10552667789169 - 2³⁵ = 10518308050801 is a prime.

It is a super-2 number, since 2×10552667789169² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10552667789097 and 10552667789106.

It is not an unprimeable number, because it can be changed into a prime (10552667789189) 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 224 ways as a sum of consecutive naturals, for example, 67214444439 + ... + 67214444595.

Almost surely, 2^{10552667789169} is an apocalyptic number.

10552667789169 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10552667789169 is the 3248487-th square number.

10552667789169 is the 1624244-th centered octagonal number.

It is an amenable number.

10552667789169 is a deficient number, since it is larger than the sum of its proper divisors (7865453211066).

10552667789169 is an frugal number, since it uses more digits than its factorization.

10552667789169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 72.

The spelling of 10552667789169 in words is "ten trillion, five hundred fifty-two billion, six hundred sixty-seven million, seven hundred eighty-nine thousand, one hundred sixty-nine".