11520564552 has 160 divisors (see below), whose sum is σ = 37055853120. Its totient is φ = 3275717760.

The previous prime is 11520564547. The next prime is 11520564593. The reversal of 11520564552 is 25546502511.

11520564552 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 0 + 5 + 645 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 951078 + ... + 963114.

It is an arithmetic number, because the mean of its divisors is an integer number (231599082).

Almost surely, 2^11520564552 is an apocalyptic number.

11520564552 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 11520564552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18527926560).

11520564552 is an abundant number, since it is smaller than the sum of its proper divisors (25535288568).

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

11520564552 is a wasteful number, since it uses less digits than its factorization.

11520564552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12273 (or 12260 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 11520564552 in words is "eleven billion, five hundred twenty million, five hundred sixty-four thousand, five hundred fifty-two".