11521585152 has 780 divisors, whose sum is σ = 44290768368. Its totient is φ = 2919628800.

The previous prime is 11521585133. The next prime is 11521585177. The reversal of 11521585152 is 25158512511.

It is a happy number.

11521585152 is a `hidden beast` number, since 1 + 1 + 5 + 21 + 585 + 1 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 281014252 + ... + 281014292.

Almost surely, 2^11521585152 is an apocalyptic number.

11521585152 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 11521585152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22145384184).

11521585152 is an abundant number, since it is smaller than the sum of its proper divisors (32769183216).

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

11521585152 is an equidigital number, since it uses as much as digits as its factorization.

11521585152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 64 counting only the distinct ones).

The product of its digits is 20000, while the sum is 36.

The spelling of 11521585152 in words is "eleven billion, five hundred twenty-one million, five hundred eighty-five thousand, one hundred fifty-two".