10540405511 has 16 divisors (see below), whose sum is σ = 11279001600. Its totient is φ = 9828184800.

The previous prime is 10540405493. The next prime is 10540405531. The reversal of 10540405511 is 11550404501.

It is a cyclic number.

It is not a de Polignac number, because 10540405511 - 2¹⁴ = 10540389127 is a prime.

It is a super-2 number, since 2×10540405511² (a number of 21 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 (10540405531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429470 + ... + 453348.

It is an arithmetic number, because the mean of its divisors is an integer number (704937600).

Almost surely, 2^10540405511 is an apocalyptic number.

10540405511 is a deficient number, since it is larger than the sum of its proper divisors (738596089).

10540405511 is a wasteful number, since it uses less digits than its factorization.

10540405511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24430.

The product of its (nonzero) digits is 2000, while the sum is 26.

The spelling of 10540405511 in words is "ten billion, five hundred forty million, four hundred five thousand, five hundred eleven".