5105005505000 has 80 divisors (see below), whose sum is σ = 11971415248980. Its totient is φ = 2040228864000.

The previous prime is 5105005504999. The next prime is 5105005505011. The reversal of 5105005505000 is 5055005015.

It can be written as a sum of positive squares in 10 ways, for example, as 330806724964 + 4774198780036 = 575158^2 + 2184994^2 .

It is a super-2 number, since 2×5105005505000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5322242 + ... + 6207758.

Almost surely, 2^{5105005505000} is an apocalyptic number.

5105005505000 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 5105005505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5985707624490).

5105005505000 is an abundant number, since it is smaller than the sum of its proper divisors (6866409743980).

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

5105005505000 is a wasteful number, since it uses less digits than its factorization.

5105005505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886696 (or 886677 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 26.

The spelling of 5105005505000 in words is "five trillion, one hundred five billion, five million, five hundred five thousand".