11922000480 has 288 divisors, whose sum is σ = 44347002336. Its totient is φ = 2898911232.

The previous prime is 11922000479. The next prime is 11922000539. The reversal of 11922000480 is 8400022911.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 1549924 + ... + 1557596.

It is an arithmetic number, because the mean of its divisors is an integer number (153982647).

Almost surely, 2^11922000480 is an apocalyptic number.

11922000480 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 11922000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22173501168).

11922000480 is an abundant number, since it is smaller than the sum of its proper divisors (32425001856).

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

11922000480 is a wasteful number, since it uses less digits than its factorization.

11922000480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7790 (or 7779 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11922000480 in words is "eleven billion, nine hundred twenty-two million, four hundred eighty", and thus it is an aban number.