5506709180 has 144 divisors (see below), whose sum is σ = 14227944192. Its totient is φ = 1782144000.

The previous prime is 5506709179. The next prime is 5506709183. The reversal of 5506709180 is 819076055.

5506709180 = T₁₇₁ + T₁₇₂ + ... + T₃₂₀₈.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5506709183) 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 47 ways as a sum of consecutive naturals, for example, 1243370 + ... + 1247790.

It is an arithmetic number, because the mean of its divisors is an integer number (98805168).

Almost surely, 2^5506709180 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 5506709180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7113972096).

5506709180 is an abundant number, since it is smaller than the sum of its proper divisors (8721235012).

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

5506709180 is a wasteful number, since it uses less digits than its factorization.

5506709180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 4507 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 41.

The square root of 5506709180 is about 74207.2043672311. The cubic root of 5506709180 is about 1765.8916257825.

The spelling of 5506709180 in words is "five billion, five hundred six million, seven hundred nine thousand, one hundred eighty".