11083188480 has 864 divisors, whose sum is σ = 46506265344. Its totient is φ = 2225405952.

The previous prime is 11083188451. The next prime is 11083188481. The reversal of 11083188480 is 8488138011.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (11083188481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56259742 + ... + 56259938.

It is an arithmetic number, because the mean of its divisors is an integer number (53826696).

Almost surely, 2^11083188480 is an apocalyptic number.

11083188480 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 11083188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23253132672).

11083188480 is an abundant number, since it is smaller than the sum of its proper divisors (35423076864).

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

11083188480 is a wasteful number, since it uses less digits than its factorization.

11083188480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 42.

The spelling of 11083188480 in words is "eleven billion, eighty-three million, one hundred eighty-eight thousand, four hundred eighty".