11082874320 has 480 divisors, whose sum is σ = 44345733120. Its totient is φ = 2426941440.

The previous prime is 11082874303. The next prime is 11082874333. The reversal of 11082874320 is 2347828011.

11082874320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 27916362 + ... + 27916758.

It is an arithmetic number, because the mean of its divisors is an integer number (92386944).

Almost surely, 2^11082874320 is an apocalyptic number.

11082874320 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 11082874320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22172866560).

11082874320 is an abundant number, since it is smaller than the sum of its proper divisors (33262858800).

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

11082874320 is a wasteful number, since it uses less digits than its factorization.

11082874320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 11082874320 in words is "eleven billion, eighty-two million, eight hundred seventy-four thousand, three hundred twenty".