11527480200 has 192 divisors, whose sum is σ = 36997632000. Its totient is φ = 2965996800.

The previous prime is 11527480189. The next prime is 11527480201. The reversal of 11527480200 is 208472511.

11527480200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11527480200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11527480201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8239101 + ... + 8240499.

It is an arithmetic number, because the mean of its divisors is an integer number (192696000).

Almost surely, 2^11527480200 is an apocalyptic number.

11527480200 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 11527480200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18498816000).

11527480200 is an abundant number, since it is smaller than the sum of its proper divisors (25470151800).

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

11527480200 is a wasteful number, since it uses less digits than its factorization.

11527480200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The spelling of 11527480200 in words is "eleven billion, five hundred twenty-seven million, four hundred eighty thousand, two hundred".