10005500005605 has 36 divisors (see below), whose sum is σ = 18779553870948. Its totient is φ = 4925784614400.

The previous prime is 10005500005547. The next prime is 10005500005651. The reversal of 10005500005605 is 50650000550001.

10005500005605 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 5 + 50 + 0 + 0 + 0 + 5 + 605 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 502343572644 + 9503156432961 = 708762^2 + 3082719^2 .

It is not a de Polignac number, because 10005500005605 - 2¹² = 10005500001509 is a prime.

It is a super-2 number, since 2×10005500005605² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 657816196 + ... + 657831405.

It is an arithmetic number, because the mean of its divisors is an integer number (521654274193).

Almost surely, 2^{10005500005605} is an apocalyptic number.

10005500005605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10005500005605 is a deficient number, since it is larger than the sum of its proper divisors (8774053865343).

10005500005605 is a wasteful number, since it uses less digits than its factorization.

10005500005605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315647638 (or 1315647622 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

Adding to 10005500005605 its reverse (50650000550001), we get a palindrome (60655500555606).

The spelling of 10005500005605 in words is "ten trillion, five billion, five hundred million, five thousand, six hundred five".