11224469024560 has 160 divisors (see below), whose sum is σ = 28512913628160. Its totient is φ = 4075382937600.

The previous prime is 11224469024557. The next prime is 11224469024603. The reversal of 11224469024560 is 6542096442211.

It is a self number, because there is not a number n which added to its sum of digits gives 11224469024560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1901482569 + ... + 1901488471.

It is an arithmetic number, because the mean of its divisors is an integer number (178205710176).

Almost surely, 2^{11224469024560} is an apocalyptic number.

11224469024560 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 11224469024560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14256456814080).

11224469024560 is an abundant number, since it is smaller than the sum of its proper divisors (17288444603600).

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

11224469024560 is a wasteful number, since it uses less digits than its factorization.

11224469024560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8867 (or 8861 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 11224469024560 in words is "eleven trillion, two hundred twenty-four billion, four hundred sixty-nine million, twenty-four thousand, five hundred sixty".