10005505505050 has 24 divisors (see below), whose sum is σ = 20302080262272. Its totient is φ = 3638365638000.

The previous prime is 10005505505029. The next prime is 10005505505059. The reversal of 10005505505050 is 5050550550001.

It is a super-2 number, since 2×10005505505050² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10005505505059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9095913546 + ... + 9095914645.

It is an arithmetic number, because the mean of its divisors is an integer number (845920010928).

Almost surely, 2^{10005505505050} is an apocalyptic number.

10005505505050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10005505505050 is an abundant number, since it is smaller than the sum of its proper divisors (10296574757222).

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

10005505505050 is a wasteful number, since it uses less digits than its factorization.

10005505505050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18191828214 (or 18191828209 counting only the distinct ones).

The product of its (nonzero) digits is 15625, while the sum is 31.

The spelling of 10005505505050 in words is "ten trillion, five billion, five hundred five million, five hundred five thousand, fifty".