10582010582011 has 16 divisors (see below), whose sum is σ = 12152433830400. Its totient is φ = 9113061276000.

The previous prime is 10582010581991. The next prime is 10582010582047. The reversal of 10582010582011 is 11028501028501.

It is a happy number.

It is not a de Polignac number, because 10582010582011 - 2¹¹ = 10582010579963 is a prime.

It is a super-2 number, since 2×10582010582011² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10582010582051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1277661 + ... + 4774561.

It is an arithmetic number, because the mean of its divisors is an integer number (759527114400).

Almost surely, 2^{10582010582011} is an apocalyptic number.

10582010582011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10582010582011 is a deficient number, since it is larger than the sum of its proper divisors (1570423248389).

10582010582011 is a wasteful number, since it uses less digits than its factorization.

10582010582011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511410.

The product of its (nonzero) digits is 6400, while the sum is 34.

The spelling of 10582010582011 in words is "ten trillion, five hundred eighty-two billion, ten million, five hundred eighty-two thousand, eleven".