5505303028000 has 96 divisors (see below), whose sum is σ = 13534808637168. Its totient is φ = 2200773376000.

The previous prime is 5505303027947. The next prime is 5505303028003. The reversal of 5505303028000 is 8203035055.

It can be written as a sum of positive squares in 8 ways, for example, as 94487382544 + 5410815645456 = 307388^2 + 2326116^2 .

It is a super-2 number, since 2×5505303028000² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5505303028003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6127620 + ... + 6968380.

Almost surely, 2^{5505303028000} is an apocalyptic number.

5505303028000 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 5505303028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6767404318584).

5505303028000 is an abundant number, since it is smaller than the sum of its proper divisors (8029505609168).

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

5505303028000 is a wasteful number, since it uses less digits than its factorization.

5505303028000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842423 (or 842405 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 5505303028000 in words is "five trillion, five hundred five billion, three hundred three million, twenty-eight thousand".