11225755200 has 336 divisors, whose sum is σ = 40573903104. Its totient is φ = 2694604800.

The previous prime is 11225755181. The next prime is 11225755217. The reversal of 11225755200 is 255752211.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5648607 + ... + 5650593.

It is an arithmetic number, because the mean of its divisors is an integer number (120755664).

Almost surely, 2^11225755200 is an apocalyptic number.

11225755200 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 11225755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20286951552).

11225755200 is an abundant number, since it is smaller than the sum of its proper divisors (29348147904).

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

11225755200 is a wasteful number, since it uses less digits than its factorization.

11225755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 30.

The spelling of 11225755200 in words is "eleven billion, two hundred twenty-five million, seven hundred fifty-five thousand, two hundred".