11202265400 has 96 divisors (see below), whose sum is σ = 27511334400. Its totient is φ = 4235414400.

The previous prime is 11202265363. The next prime is 11202265421. The reversal of 11202265400 is 456220211.

It is a happy number.

It is a congruent number.

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, 245591 + ... + 287609.

It is an arithmetic number, because the mean of its divisors is an integer number (286576400).

Almost surely, 2^11202265400 is an apocalyptic number.

11202265400 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 11202265400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13755667200).

11202265400 is an abundant number, since it is smaller than the sum of its proper divisors (16309069000).

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

11202265400 is a wasteful number, since it uses less digits than its factorization.

11202265400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42109 (or 42100 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 11202265400 its reverse (456220211), we get a palindrome (11658485611).

The spelling of 11202265400 in words is "eleven billion, two hundred two million, two hundred sixty-five thousand, four hundred".