11289784320 has 416 divisors, whose sum is σ = 42532914240. Its totient is φ = 2831155200.

The previous prime is 11289784307. The next prime is 11289784339. The reversal of 11289784320 is 2348798211.

It is a happy number.

11289784320 is a `hidden beast` number, since 1 + 128 + 97 + 8 + 432 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9399720 + ... + 9400920.

Almost surely, 2^11289784320 is an apocalyptic number.

11289784320 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 11289784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21266457120).

11289784320 is an abundant number, since it is smaller than the sum of its proper divisors (31243129920).

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

11289784320 is a wasteful number, since it uses less digits than its factorization.

11289784320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11289784320 in words is "eleven billion, two hundred eighty-nine million, seven hundred eighty-four thousand, three hundred twenty".