17689532004 has 81 divisors (see below), whose sum is σ = 46489287481. Its totient is φ = 5889328560.

The previous prime is 17689531997. The next prime is 17689532039. The reversal of 17689532004 is 40023598671.

The square root of 17689532004 is 133002.

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., 4829972004 + 12859560000 = 69498^2 + 113400^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21545914 + ... + 21546734.

It is a 1-persistent number, because it is pandigital, but 2⋅17689532004 = 35379064008 is not.

Almost surely, 2^17689532004 is an apocalyptic number.

17689532004 is the 133002-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17689532004

17689532004 is an abundant number, since it is smaller than the sum of its proper divisors (28799755477).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

17689532004 is an frugal number, since it uses more digits than its factorization.

17689532004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 17689532004 in words is "seventeen billion, six hundred eighty-nine million, five hundred thirty-two thousand, four".