10805518037553 has 16 divisors (see below), whose sum is σ = 14502961928832. Its totient is φ = 7155877680000.

The previous prime is 10805518037519. The next prime is 10805518037557. The reversal of 10805518037553 is 35573081550801.

It is not a de Polignac number, because 10805518037553 - 2¹⁶ = 10805517972017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10805518037496 and 10805518037505.

It is not an unprimeable number, because it can be changed into a prime (10805518037557) 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, 57174373 + ... + 57363053.

It is an arithmetic number, because the mean of its divisors is an integer number (906435120552).

Almost surely, 2^{10805518037553} is an apocalyptic number.

It is an amenable number.

10805518037553 is a deficient number, since it is larger than the sum of its proper divisors (3697443891279).

10805518037553 is a wasteful number, since it uses less digits than its factorization.

10805518037553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315256.

The product of its (nonzero) digits is 2520000, while the sum is 51.

The spelling of 10805518037553 in words is "ten trillion, eight hundred five billion, five hundred eighteen million, thirty-seven thousand, five hundred fifty-three".