10506055055060 has 24 divisors (see below), whose sum is σ = 22177030212456. Its totient is φ = 4180647813120.

The previous prime is 10506055055053. The next prime is 10506055055063. The reversal of 10506055055060 is 6055055060501.

It can be written as a sum of positive squares in 4 ways, for example, as 583567655056 + 9922487400004 = 763916^2 + 3149998^2 .

It is a super-2 number, since 2×10506055055060² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506055055063) 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 7 ways as a sum of consecutive naturals, for example, 1360884101 + ... + 1360891820.

It is an arithmetic number, because the mean of its divisors is an integer number (924042925519).

Almost surely, 2^{10506055055060} is an apocalyptic number.

10506055055060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10506055055060 is an abundant number, since it is smaller than the sum of its proper divisors (11670975157396).

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

10506055055060 is a wasteful number, since it uses less digits than its factorization.

10506055055060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721776123 (or 2721776121 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 38.

The spelling of 10506055055060 in words is "ten trillion, five hundred six billion, fifty-five million, fifty-five thousand, sixty".