10580809185 has 12 divisors (see below), whose sum is σ = 18340069332. Its totient is φ = 5643098208.

The previous prime is 10580809171. The next prime is 10580809201. The reversal of 10580809185 is 58190808501.

It can be written as a sum of positive squares in 2 ways, for example, as 4064445009 + 6516364176 = 63753^2 + 80724^2 .

It is not a de Polignac number, because 10580809185 - 2³² = 6285841889 is a prime.

It is a super-2 number, since 2×10580809185² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 235129093 = 10580809185 / (1 + 0 + 5 + 8 + 0 + 8 + 0 + 9 + 1 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 10580809185.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117564502 + ... + 117564591.

It is an arithmetic number, because the mean of its divisors is an integer number (1528339111).

Almost surely, 2^10580809185 is an apocalyptic number.

10580809185 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10580809185 is a deficient number, since it is larger than the sum of its proper divisors (7759260147).

10580809185 is a wasteful number, since it uses less digits than its factorization.

10580809185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235129104 (or 235129101 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 45.

The spelling of 10580809185 in words is "ten billion, five hundred eighty million, eight hundred nine thousand, one hundred eighty-five".