11528386560 has 576 divisors, whose sum is σ = 42821382240. Its totient is φ = 2972712960.

The previous prime is 11528386543. The next prime is 11528386603. The reversal of 11528386560 is 6568382511.

11528386560 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 8 + 3 + 86 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102021064 + ... + 102021176.

Almost surely, 2^11528386560 is an apocalyptic number.

11528386560 is a gapful number since it is divisible by the number (10) 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 11528386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21410691120).

11528386560 is an abundant number, since it is smaller than the sum of its proper divisors (31292995680).

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

11528386560 is an equidigital number, since it uses as much as digits as its factorization.

11528386560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 11528386560 in words is "eleven billion, five hundred twenty-eight million, three hundred eighty-six thousand, five hundred sixty".