11125436200 has 96 divisors (see below), whose sum is σ = 26609859360. Its totient is φ = 4324089600.

The previous prime is 11125436183. The next prime is 11125436219. The reversal of 11125436200 is 263452111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1007107 + ... + 1018093.

It is an arithmetic number, because the mean of its divisors is an integer number (277186035).

Almost surely, 2^11125436200 is an apocalyptic number.

11125436200 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 11125436200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13304929680).

11125436200 is an abundant number, since it is smaller than the sum of its proper divisors (15484423160).

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

11125436200 is a wasteful number, since it uses less digits than its factorization.

11125436200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11147 (or 11138 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 11125436200 its reverse (263452111), we get a palindrome (11388888311).

The spelling of 11125436200 in words is "eleven billion, one hundred twenty-five million, four hundred thirty-six thousand, two hundred".