10555100505511 has 16 divisors (see below), whose sum is σ = 11004443873280. Its totient is φ = 10112616077760.

The previous prime is 10555100505487. The next prime is 10555100505553. The reversal of 10555100505511 is 11550500155501.

It is a cyclic number.

It is not a de Polignac number, because 10555100505511 - 2³⁵ = 10520740767143 is a prime.

It is a super-2 number, since 2×10555100505511² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10555100503511) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11012430 + ... + 11932468.

It is an arithmetic number, because the mean of its divisors is an integer number (687777742080).

Almost surely, 2^{10555100505511} is an apocalyptic number.

10555100505511 is a deficient number, since it is larger than the sum of its proper divisors (449343367769).

10555100505511 is a wasteful number, since it uses less digits than its factorization.

10555100505511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923766.

The product of its (nonzero) digits is 15625, while the sum is 34.

The spelling of 10555100505511 in words is "ten trillion, five hundred fifty-five billion, one hundred million, five hundred five thousand, five hundred eleven".