10005611055055 has 24 divisors (see below), whose sum is σ = 15082838489376. Its totient is φ = 6237264031680.

The previous prime is 10005611054977. The next prime is 10005611055113. The reversal of 10005611055055 is 55055011650001.

It is not a de Polignac number, because 10005611055055 - 2¹⁹ = 10005610530767 is a prime.

It is a super-3 number, since 3×10005611055055³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10005611055055.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1181295772 + ... + 1181304241.

It is an arithmetic number, because the mean of its divisors is an integer number (628451603724).

Almost surely, 2^{10005611055055} is an apocalyptic number.

10005611055055 is a deficient number, since it is larger than the sum of its proper divisors (5077227434321).

10005611055055 is a wasteful number, since it uses less digits than its factorization.

10005611055055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362600047 (or 2362600036 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 34.

It can be divided in two parts, 100056 and 11055055, that added together give a palindrome (11155111).

The spelling of 10005611055055 in words is "ten trillion, five billion, six hundred eleven million, fifty-five thousand, fifty-five".