5505055505004 has 768 divisors, whose sum is σ = 16388752343040. Its totient is φ = 1417144565760.

The previous prime is 5505055504951. The next prime is 5505055505009. The reversal of 5505055505004 is 4005055505055.

It is a super-2 number, since 2×5505055505004² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5505055505009) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9283398532 + ... + 9283399124.

It is an arithmetic number, because the mean of its divisors is an integer number (21339521280).

Almost surely, 2^{5505055505004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5505055505004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8194376171520).

5505055505004 is an abundant number, since it is smaller than the sum of its proper divisors (10883696838036).

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

5505055505004 is a wasteful number, since it uses less digits than its factorization.

5505055505004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 312500, while the sum is 39.

The spelling of 5505055505004 in words is "five trillion, five hundred five billion, fifty-five million, five hundred five thousand, four".