11540005200 has 150 divisors (see below), whose sum is σ = 41416268894. Its totient is φ = 3077326080.

The previous prime is 11540005187. The next prime is 11540005201. The reversal of 11540005200 is 250004511.

It can be written as a sum of positive squares in 3 ways, for example, as 1042773264 + 10497231936 = 32292^2 + 102456^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11540005201) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 145687 + ... + 210486.

Almost surely, 2^11540005200 is an apocalyptic number.

11540005200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11540005200 is an abundant number, since it is smaller than the sum of its proper divisors (29876263694).

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

11540005200 is a wasteful number, since it uses less digits than its factorization.

11540005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356203 (or 356183 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 11540005200 its reverse (250004511), we get a palindrome (11790009711).

The spelling of 11540005200 in words is "eleven billion, five hundred forty million, five thousand, two hundred".