1672927535889 has 45 divisors (see below), whose sum is σ = 2519841220897. Its totient is φ = 1106088829056.

The previous prime is 1672927535843. The next prime is 1672927535891. The reversal of 1672927535889 is 9885357292761.

The square root of 1672927535889 is 1293417.

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

1672927535889 is a `hidden beast` number, since 1 + 6 + 7 + 2 + 9 + 2 + 7 + 535 + 8 + 89 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 476949078225 + 1195978457664 = 690615^2 + 1093608^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1672927535889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1672927535809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1594782637 + ... + 1594783685.

Almost surely, 2^{1672927535889} is an apocalyptic number.

1672927535889 is the 1293417-th square number.

1672927535889 is the 646709-th centered octagonal number.

It is an amenable number.

1672927535889 is a deficient number, since it is larger than the sum of its proper divisors (846913685008).

1672927535889 is an frugal number, since it uses more digits than its factorization.

1672927535889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 1189 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 72.

The spelling of 1672927535889 in words is "one trillion, six hundred seventy-two billion, nine hundred twenty-seven million, five hundred thirty-five thousand, eight hundred eighty-nine".