11205468288 has 128 divisors (see below), whose sum is σ = 37796304000. Its totient is φ = 3201555456.

The previous prime is 11205468283. The next prime is 11205468299. The reversal of 11205468288 is 88286450211.

11205468288 is a `hidden beast` number, since 1 + 1 + 20 + 546 + 8 + 2 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (11205468283) 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, 207403 + ... + 255786.

It is an arithmetic number, because the mean of its divisors is an integer number (295283625).

Almost surely, 2^11205468288 is an apocalyptic number.

11205468288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11205468288 is an abundant number, since it is smaller than the sum of its proper divisors (26590835712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11205468288 is an equidigital number, since it uses as much as digits as its factorization.

11205468288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463219 (or 463201 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 11205468288 in words is "eleven billion, two hundred five million, four hundred sixty-eight thousand, two hundred eighty-eight".