5005055555550 has 72 divisors (see below), whose sum is σ = 13447171151856. Its totient is φ = 1334656149120.

The previous prime is 5005055555537. The next prime is 5005055555557. The reversal of 5005055555550 is 555555505005.

It is a super-2 number, since 2×5005055555550² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 5005055555496 and 5005055555505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005055555557) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45488202 + ... + 45598098.

It is an arithmetic number, because the mean of its divisors is an integer number (186766265998).

Almost surely, 2^{5005055555550} is an apocalyptic number.

5005055555550 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5005055555550 is an abundant number, since it is smaller than the sum of its proper divisors (8442115596306).

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

5005055555550 is a wasteful number, since it uses less digits than its factorization.

5005055555550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211122 (or 211114 counting only the distinct ones).

The product of its (nonzero) digits is 1953125, while the sum is 45.

The spelling of 5005055555550 in words is "five trillion, five billion, fifty-five million, five hundred fifty-five thousand, five hundred fifty".