5506124802400 has 216 divisors, whose sum is σ = 13728650278896. Its totient is φ = 2156351155200.

The previous prime is 5506124802337. The next prime is 5506124802407. The reversal of 5506124802400 is 42084216055.

It is a self number, because there is not a number n which added to its sum of digits gives 5506124802400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5506124802407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 599725810 + ... + 599734990.

It is an arithmetic number, because the mean of its divisors is an integer number (63558566106).

Almost surely, 2^{5506124802400} is an apocalyptic number.

5506124802400 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 5506124802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6864325139448).

5506124802400 is an abundant number, since it is smaller than the sum of its proper divisors (8222525476496).

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

5506124802400 is a wasteful number, since it uses less digits than its factorization.

5506124802400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9502 (or 9422 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The spelling of 5506124802400 in words is "five trillion, five hundred six billion, one hundred twenty-four million, eight hundred two thousand, four hundred".