11582965728 has 144 divisors (see below), whose sum is σ = 33784326576. Its totient is φ = 3762339840.

The previous prime is 11582965717. The next prime is 11582965733. The reversal of 11582965728 is 82756928511.

11582965728 is a `hidden beast` number, since 1 + 1 + 582 + 9 + 6 + 57 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7144758 + ... + 7146378.

It is an arithmetic number, because the mean of its divisors is an integer number (234613379).

Almost surely, 2^11582965728 is an apocalyptic number.

11582965728 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 11582965728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16892163288).

11582965728 is an abundant number, since it is smaller than the sum of its proper divisors (22201360848).

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

11582965728 is a wasteful number, since it uses less digits than its factorization.

11582965728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2246 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 54.

The spelling of 11582965728 in words is "eleven billion, five hundred eighty-two million, nine hundred sixty-five thousand, seven hundred twenty-eight".