27389919001 has 9 divisors (see below), whose sum is σ = 27526135903. Its totient is φ = 27254375320.

The previous prime is 27389918999. The next prime is 27389919041. The reversal of 27389919001 is 10091998372.

The square root of 27389919001 is 165499.

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., 8779502601 + 18610416400 = 93699^2 + 136420^2 .

It is not a de Polignac number, because 27389919001 - 2¹ = 27389918999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27389919041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 59413911 + ... + 59414371.

Almost surely, 2^27389919001 is an apocalyptic number.

27389919001 is the 165499-th square number.

27389919001 is the 82750-th centered octagonal number.

It is an amenable number.

27389919001 is a deficient number, since it is larger than the sum of its proper divisors (136216902).

27389919001 is an frugal number, since it uses more digits than its factorization.

27389919001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 49.

Multiplying 27389919001 by its sum of digits (49), we get a square (1342106031049 = 1158493²).

The spelling of 27389919001 in words is "twenty-seven billion, three hundred eighty-nine million, nine hundred nineteen thousand, one".