11528563200 has 720 divisors, whose sum is σ = 48415856544. Its totient is φ = 2391244800.

The previous prime is 11528563099. The next prime is 11528563219. The reversal of 11528563200 is 236582511.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20697322 + ... + 20697878.

Almost surely, 2^11528563200 is an apocalyptic number.

11528563200 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 11528563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24207928272).

11528563200 is an abundant number, since it is smaller than the sum of its proper divisors (36887293344).

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

11528563200 is a wasteful number, since it uses less digits than its factorization.

11528563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 11528563200 in words is "eleven billion, five hundred twenty-eight million, five hundred sixty-three thousand, two hundred".