55005728089 has 9 divisors (see below), whose sum is σ = 59565717309. Its totient is φ = 50771703840.

The previous prime is 55005728021. The next prime is 55005728101. The reversal of 55005728089 is 98082750055.

The square root of 55005728089 is 234533.

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 37715582025 + 17290146064 = 194205^2 + 131492^2 .

It is not a de Polignac number, because 55005728089 - 2³¹ = 52858244441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55005728009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3039909 + ... + 3057949.

Almost surely, 2^55005728089 is an apocalyptic number.

55005728089 is the 234533-rd square number.

55005728089 is the 117267-th centered octagonal number.

It is an amenable number.

55005728089 is a deficient number, since it is larger than the sum of its proper divisors (4559989220).

55005728089 is an frugal number, since it uses more digits than its factorization.

55005728089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36108 (or 18054 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 49.

Multiplying 55005728089 by its sum of digits (49), we get a square (2695280676361 = 1641731²).

The spelling of 55005728089 in words is "fifty-five billion, five million, seven hundred twenty-eight thousand, eighty-nine".