10505511000006 has 32 divisors (see below), whose sum is σ = 22921237018368. Its totient is φ = 3183471222240.

The previous prime is 10505510999959. The next prime is 10505511000043. The reversal of 10505511000006 is 60000011550501.

It is a super-2 number, since 2×10505511000006² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10505511000006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18228396 + ... + 18795888.

It is an arithmetic number, because the mean of its divisors is an integer number (716288656824).

Almost surely, 2^{10505511000006} is an apocalyptic number.

10505511000006 is an abundant number, since it is smaller than the sum of its proper divisors (12415726018362).

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

10505511000006 is a wasteful number, since it uses less digits than its factorization.

10505511000006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847996.

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 10505511000006 its reverse (60000011550501), we get a palindrome (70505522550507).

The spelling of 10505511000006 in words is "ten trillion, five hundred five billion, five hundred eleven million, six", and thus it is an aban number.