11304756288 has 252 divisors, whose sum is σ = 39912284412. Its totient is φ = 3039805440.

The previous prime is 11304756257. The next prime is 11304756293. The reversal of 11304756288 is 88265740311.

11304756288 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 4 + 7 + 562 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5563966464 + 5740789824 = 74592^2 + 75768^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 468028 + ... + 491588.

It is an arithmetic number, because the mean of its divisors is an integer number (158382081).

Almost surely, 2^11304756288 is an apocalyptic number.

11304756288 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 11304756288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19956142206).

11304756288 is an abundant number, since it is smaller than the sum of its proper divisors (28607528124).

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

11304756288 is a wasteful number, since it uses less digits than its factorization.

11304756288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23610 (or 23590 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 11304756288 in words is "eleven billion, three hundred four million, seven hundred fifty-six thousand, two hundred eighty-eight".