11552205406211 has 64 divisors (see below), whose sum is σ = 12820614266880. Its totient is φ = 10360194969600.

The previous prime is 11552205406193. The next prime is 11552205406219. The reversal of 11552205406211 is 11260450225511.

It is not a de Polignac number, because 11552205406211 - 2¹⁰ = 11552205405187 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11552205406219) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19221639311 + ... + 19221639911.

It is an arithmetic number, because the mean of its divisors is an integer number (200322097920).

Almost surely, 2^{11552205406211} is an apocalyptic number.

11552205406211 is a deficient number, since it is larger than the sum of its proper divisors (1268408860669).

11552205406211 is a wasteful number, since it uses less digits than its factorization.

11552205406211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884.

The product of its (nonzero) digits is 24000, while the sum is 35.

The spelling of 11552205406211 in words is "eleven trillion, five hundred fifty-two billion, two hundred five million, four hundred six thousand, two hundred eleven".