11264053600 has 144 divisors (see below), whose sum is σ = 27955866960. Its totient is φ = 4431257600.

The previous prime is 11264053547. The next prime is 11264053621. The reversal of 11264053600 is 635046211.

11264053600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20006919 + ... + 20007481.

It is an arithmetic number, because the mean of its divisors is an integer number (194137965).

Almost surely, 2^11264053600 is an apocalyptic number.

11264053600 is a gapful number since it is divisible by the number (10) 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 11264053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13977933480).

11264053600 is an abundant number, since it is smaller than the sum of its proper divisors (16691813360).

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

11264053600 is a wasteful number, since it uses less digits than its factorization.

11264053600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 11264053600 its reverse (635046211), we get a palindrome (11899099811).

It can be divided in two parts, 1126 and 4053600, that multiplied together give a square (4564353600 = 67560²).

The spelling of 11264053600 in words is "eleven billion, two hundred sixty-four million, fifty-three thousand, six hundred".