11223954560 has 256 divisors, whose sum is σ = 33230131200. Its totient is φ = 3530096640.

The previous prime is 11223954527. The next prime is 11223954583. The reversal of 11223954560 is 6545932211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11123336 + ... + 11124344.

It is an arithmetic number, because the mean of its divisors is an integer number (129805200).

Almost surely, 2^11223954560 is an apocalyptic number.

11223954560 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 11223954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16615065600).

11223954560 is an abundant number, since it is smaller than the sum of its proper divisors (22006176640).

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

11223954560 is a wasteful number, since it uses less digits than its factorization.

11223954560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The spelling of 11223954560 in words is "eleven billion, two hundred twenty-three million, nine hundred fifty-four thousand, five hundred sixty".