5506200576 has 132 divisors (see below), whose sum is σ = 15974583300. Its totient is φ = 1826684928.

The previous prime is 5506200569. The next prime is 5506200593. The reversal of 5506200576 is 6750026055.

It can be written as a sum of positive squares in 2 ways, for example, as 4075545600 + 1430654976 = 63840^2 + 37824^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5506200576.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2109160 + ... + 2111768.

Almost surely, 2^5506200576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5506200576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7987291650).

5506200576 is an abundant number, since it is smaller than the sum of its proper divisors (10468382724).

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

5506200576 is a wasteful number, since it uses less digits than its factorization.

5506200576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 5506200576 is about 74203.7773701582. Note that the first 3 decimals coincide. The cubic root of 5506200576 is about 1765.8372577278.

The spelling of 5506200576 in words is "five billion, five hundred six million, two hundred thousand, five hundred seventy-six".