11225006353000 has 128 divisors (see below), whose sum is σ = 28656208563840. Its totient is φ = 4081560000000.

The previous prime is 11225006352979. The next prime is 11225006353019. The reversal of 11225006353000 is 35360052211.

It is a self number, because there is not a number n which added to its sum of digits gives 11225006353000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288741564 + ... + 288780436.

It is an arithmetic number, because the mean of its divisors is an integer number (223876629405).

Almost surely, 2^{11225006353000} is an apocalyptic number.

11225006353000 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 11225006353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14328104281920).

11225006353000 is an abundant number, since it is smaller than the sum of its proper divisors (17431202210840).

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

11225006353000 is a wasteful number, since it uses less digits than its factorization.

11225006353000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65156 (or 65142 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The spelling of 11225006353000 in words is "eleven trillion, two hundred twenty-five billion, six million, three hundred fifty-three thousand".