11205408807 has 16 divisors (see below), whose sum is σ = 16628251360. Its totient is φ = 7457832000.

The previous prime is 11205408793. The next prime is 11205408839. The reversal of 11205408807 is 70880450211.

11205408807 is a `hidden beast` number, since 11 + 20 + 540 + 8 + 80 + 7 = 666.

It is not a de Polignac number, because 11205408807 - 2¹⁴ = 11205392423 is a prime.

It is a super-2 number, since 2×11205408807² (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 (11205404807) 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, 329044 + ... + 361497.

It is an arithmetic number, because the mean of its divisors is an integer number (1039265710).

Almost surely, 2^11205408807 is an apocalyptic number.

11205408807 is a deficient number, since it is larger than the sum of its proper divisors (5422842553).

11205408807 is an equidigital number, since it uses as much as digits as its factorization.

11205408807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691151 (or 691145 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 11205408807 in words is "eleven billion, two hundred five million, four hundred eight thousand, eight hundred seven".