11272844800 has 120 divisors (see below), whose sum is σ = 31919515056. Its totient is φ = 3864944640.

The previous prime is 11272844773. The next prime is 11272844809. The reversal of 11272844800 is 844827211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11272844800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11272844809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26694 + ... + 152506.

Almost surely, 2^11272844800 is an apocalyptic number.

11272844800 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 11272844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15959757528).

11272844800 is an abundant number, since it is smaller than the sum of its proper divisors (20646670256).

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

11272844800 is an equidigital number, since it uses as much as digits as its factorization.

11272844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125848 (or 125827 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The spelling of 11272844800 in words is "eleven billion, two hundred seventy-two million, eight hundred forty-four thousand, eight hundred".