11000082480 has 80 divisors (see below), whose sum is σ = 34163003904. Its totient is φ = 2927957760.

The previous prime is 11000082449. The next prime is 11000082517. The reversal of 11000082480 is 8428000011.

11000082480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11000082480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89385 + ... + 173175.

Almost surely, 2^11000082480 is an apocalyptic number.

11000082480 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 11000082480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17081501952).

11000082480 is an abundant number, since it is smaller than the sum of its proper divisors (23162921424).

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

11000082480 is a wasteful number, since it uses less digits than its factorization.

11000082480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84354 (or 84348 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 11000082480 its reverse (8428000011), we get a palindrome (19428082491).

The spelling of 11000082480 in words is "eleven billion, eighty-two thousand, four hundred eighty".