11284480000 has 320 divisors, whose sum is σ = 30709701000. Its totient is φ = 4128768000.

The previous prime is 11284479923. The next prime is 11284480003. The reversal of 11284480000 is 8448211.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11284480003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 389119986 + ... + 389120014.

Almost surely, 2^11284480000 is an apocalyptic number.

11284480000 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 11284480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15354850500).

11284480000 is an abundant number, since it is smaller than the sum of its proper divisors (19425221000).

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

11284480000 is an frugal number, since it uses more digits than its factorization.

11284480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The spelling of 11284480000 in words is "eleven billion, two hundred eighty-four million, four hundred eighty thousand".