11224592480 has 96 divisors (see below), whose sum is σ = 27709516800. Its totient is φ = 4288660992.

The previous prime is 11224592461. The next prime is 11224592497. The reversal of 11224592480 is 8429542211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3380261 + ... + 3383579.

It is an arithmetic number, because the mean of its divisors is an integer number (288640800).

Almost surely, 2^11224592480 is an apocalyptic number.

11224592480 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 11224592480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13854758400).

11224592480 is an abundant number, since it is smaller than the sum of its proper divisors (16484924320).

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

11224592480 is a wasteful number, since it uses less digits than its factorization.

11224592480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The spelling of 11224592480 in words is "eleven billion, two hundred twenty-four million, five hundred ninety-two thousand, four hundred eighty".