5506009600 has 480 divisors, whose sum is σ = 17475131520. Its totient is φ = 1672151040.

The previous prime is 5506009591. The next prime is 5506009609. The reversal of 5506009600 is 69006055.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5506009591) and next prime (5506009609).

It is a super-2 number, since 2×5506009600² = 60632283430584320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5506009609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33779119 + ... + 33779281.

It is an arithmetic number, because the mean of its divisors is an integer number (36406524).

Almost surely, 2^5506009600 is an apocalyptic number.

5506009600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5506009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8737565760).

5506009600 is an abundant number, since it is smaller than the sum of its proper divisors (11969121920).

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

5506009600 is a wasteful number, since it uses less digits than its factorization.

5506009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 5506009600 is about 74202.4905242405. The cubic root of 5506009600 is about 1765.8168421720.

The spelling of 5506009600 in words is "five billion, five hundred six million, nine thousand, six hundred".