11582585352 has 144 divisors (see below), whose sum is σ = 34038351360. Its totient is φ = 3556515456.

The previous prime is 11582585351. The next prime is 11582585407. The reversal of 11582585352 is 25358528511.

11582585352 is a `hidden beast` number, since 1 + 15 + 8 + 2 + 585 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11582585298 and 11582585307.

It is not an unprimeable number, because it can be changed into a prime (11582585351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10500433 + ... + 10501535.

It is an arithmetic number, because the mean of its divisors is an integer number (236377440).

Almost surely, 2^11582585352 is an apocalyptic number.

11582585352 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 11582585352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17019175680).

11582585352 is an abundant number, since it is smaller than the sum of its proper divisors (22455766008).

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

11582585352 is a wasteful number, since it uses less digits than its factorization.

11582585352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 1984 counting only the distinct ones).

The product of its digits is 480000, while the sum is 45.

The spelling of 11582585352 in words is "eleven billion, five hundred eighty-two million, five hundred eighty-five thousand, three hundred fifty-two".