11565980592 has 80 divisors (see below), whose sum is σ = 30547247232. Its totient is φ = 3769920000.

The previous prime is 11565980581. The next prime is 11565980603. The reversal of 11565980592 is 29508956511.

11565980592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11565980581) and next prime (11565980603).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 427467 + ... + 453717.

Almost surely, 2^11565980592 is an apocalyptic number.

11565980592 is a gapful number since it is divisible by the number (12) 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 11565980592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15273623616).

11565980592 is an abundant number, since it is smaller than the sum of its proper divisors (18981266640).

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

11565980592 is a wasteful number, since it uses less digits than its factorization.

11565980592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26466 (or 26460 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 51.

It can be divided in two parts, 115659 and 80592, that added together give a triangular number (196251 = T₆₂₆).

The spelling of 11565980592 in words is "eleven billion, five hundred sixty-five million, nine hundred eighty thousand, five hundred ninety-two".