11355268608 has 160 divisors (see below), whose sum is σ = 33695164800. Its totient is φ = 3775776768.

The previous prime is 11355268591. The next prime is 11355268621. The reversal of 11355268608 is 80686255311.

11355268608 is a `hidden beast` number, since 1 + 1 + 35 + 5 + 2 + 6 + 8 + 608 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7782183 + ... + 7783641.

It is an arithmetic number, because the mean of its divisors is an integer number (210594780).

Almost surely, 2^11355268608 is an apocalyptic number.

11355268608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11355268608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16847582400).

11355268608 is an abundant number, since it is smaller than the sum of its proper divisors (22339896192).

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

11355268608 is an equidigital number, since it uses as much as digits as its factorization.

11355268608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 11355268608 in words is "eleven billion, three hundred fifty-five million, two hundred sixty-eight thousand, six hundred eight".