5506000000000 has 220 divisors, whose sum is σ = 13763274957828. Its totient is φ = 2201600000000.

The previous prime is 5505999999991. The next prime is 5506000000001. The reversal of 5506000000000 is 6055.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 857801982976 + 4648198017024 = 926176^2 + 2155968^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5506000000001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1999998624 + ... + 2000001376.

Almost surely, 2^{5506000000000} is an apocalyptic number.

5506000000000 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 5506000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6881637478914).

5506000000000 is an abundant number, since it is smaller than the sum of its proper divisors (8257274957828).

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

5506000000000 is an frugal number, since it uses more digits than its factorization.

5506000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

Adding to 5506000000000 its reverse (6055), we get a palindrome (5506000006055).

The spelling of 5506000000000 in words is "five trillion, five hundred six billion", and thus it is an aban number.