5506378833600 has 504 divisors, whose sum is σ = 20357613709888. Its totient is φ = 1463897318400.

The previous prime is 5506378833587. The next prime is 5506378833649. The reversal of 5506378833600 is 63388736055.

It is a happy number.

5506378833600 is a `hidden beast` number, since 5 + 506 + 3 + 78 + 8 + 3 + 3 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 128671407 + ... + 128714193.

Almost surely, 2^{5506378833600} is an apocalyptic number.

5506378833600 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 5506378833600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10178806854944).

5506378833600 is an abundant number, since it is smaller than the sum of its proper divisors (14851234876288).

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

5506378833600 is a wasteful number, since it uses less digits than its factorization.

5506378833600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43155 (or 43128 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 5506378833600 in words is "five trillion, five hundred six billion, three hundred seventy-eight million, eight hundred thirty-three thousand, six hundred".