27903929361889 has 81 divisors (see below), whose sum is σ = 33617319471801. Its totient is φ = 23093881937280.

The previous prime is 27903929361871. The next prime is 27903929361967. The reversal of 27903929361889 is 98816392930972.

The square root of 27903929361889 is 5282417.

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

It can be written as a sum of positive squares in 4 ways, for example, as 18087864398289 + 9816064963600 = 4252983^2 + 3133060^2 .

It is not a de Polignac number, because 27903929361889 - 2¹⁵ = 27903929329121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27903929361859) 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, 200747693182 + ... + 200747693320.

Almost surely, 2^{27903929361889} is an apocalyptic number.

27903929361889 is the 5282417-th square number.

27903929361889 is the 2641209-th centered octagonal number.

It is an amenable number.

27903929361889 is a deficient number, since it is larger than the sum of its proper divisors (5713390109912).

27903929361889 is an frugal number, since it uses more digits than its factorization.

27903929361889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 76.

The spelling of 27903929361889 in words is "twenty-seven trillion, nine hundred three billion, nine hundred twenty-nine million, three hundred sixty-one thousand, eight hundred eighty-nine".