11552524564 has 48 divisors (see below), whose sum is σ = 23933105280. Its totient is φ = 4774089600.

The previous prime is 11552524561. The next prime is 11552524567. The reversal of 11552524564 is 46542525511.

It is an interprime number because it is at equal distance from previous prime (11552524561) and next prime (11552524567).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11552524561) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 638239 + ... + 656089.

It is an arithmetic number, because the mean of its divisors is an integer number (498606360).

Almost surely, 2^11552524564 is an apocalyptic number.

11552524564 is a gapful number since it is divisible by the number (14) 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 11552524564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11966552640).

11552524564 is an abundant number, since it is smaller than the sum of its proper divisors (12380580716).

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

11552524564 is a wasteful number, since it uses less digits than its factorization.

11552524564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18688 (or 18686 counting only the distinct ones).

The product of its digits is 240000, while the sum is 40.

The spelling of 11552524564 in words is "eleven billion, five hundred fifty-two million, five hundred twenty-four thousand, five hundred sixty-four".