11582963712 has 180 divisors, whose sum is σ = 34637478876. Its totient is φ = 3857448960.

The previous prime is 11582963677. The next prime is 11582963741. The reversal of 11582963712 is 21736928511.

11582963712 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 2 + 9 + 637 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10616287 + ... + 10617377.

Almost surely, 2^11582963712 is an apocalyptic number.

11582963712 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 11582963712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17318739438).

11582963712 is an abundant number, since it is smaller than the sum of its proper divisors (23054515164).

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

11582963712 is an frugal number, since it uses more digits than its factorization.

11582963712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1096 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 11582963712 in words is "eleven billion, five hundred eighty-two million, nine hundred sixty-three thousand, seven hundred twelve".