10704891179889 has 81 divisors (see below), whose sum is σ = 16603924235769. Its totient is φ = 6901081036920.

The previous prime is 10704891179881. The next prime is 10704891179909. The reversal of 10704891179889 is 98897119840701.

The square root of 10704891179889 is 3271833.

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

10704891179889 is a `hidden beast` number, since 1 + 0 + 70 + 489 + 1 + 1 + 79 + 8 + 8 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 10704891179889 - 2³ = 10704891179881 is a prime.

It is a super-2 number, since 2×10704891179889² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10704891179881) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8215572012 + ... + 8215573314.

Almost surely, 2^{10704891179889} is an apocalyptic number.

10704891179889 is the 3271833-rd square number.

10704891179889 is the 1635917-th centered octagonal number.

It is an amenable number.

10704891179889 is a deficient number, since it is larger than the sum of its proper divisors (5899033055880).

10704891179889 is an frugal number, since it uses more digits than its factorization.

10704891179889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 72.

The spelling of 10704891179889 in words is "ten trillion, seven hundred four billion, eight hundred ninety-one million, one hundred seventy-nine thousand, eight hundred eighty-nine".