5509795984 has 135 divisors (see below), whose sum is σ = 13706546553. Its totient is φ = 2137766400.

The previous prime is 5509795937. The next prime is 5509796003. The reversal of 5509795984 is 4895979055.

The square root of 5509795984 is 74228.

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., 4143754384 + 1366041600 = 64372^2 + 36960^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22862104 + ... + 22862344.

Almost surely, 2^5509795984 is an apocalyptic number.

5509795984 is the 74228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5509795984

5509795984 is an abundant number, since it is smaller than the sum of its proper divisors (8196750569).

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

5509795984 is a wasteful number, since it uses less digits than its factorization.

5509795984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 61.

The cubic root of 5509795984 is about 1766.2215229409.

The spelling of 5509795984 in words is "five billion, five hundred nine million, seven hundred ninety-five thousand, nine hundred eighty-four".