11185089283320 has 512 divisors, whose sum is σ = 36533474426880. Its totient is φ = 2733548912640.

The previous prime is 11185089283279. The next prime is 11185089283411. The reversal of 11185089283320 is 2338298058111.

It is a super-2 number, since 2×11185089283320² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 926448804 + ... + 926460876.

It is an arithmetic number, because the mean of its divisors is an integer number (71354442240).

Almost surely, 2^{11185089283320} is an apocalyptic number.

11185089283320 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 11185089283320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18266737213440).

11185089283320 is an abundant number, since it is smaller than the sum of its proper divisors (25348385143560).

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

11185089283320 is a wasteful number, since it uses less digits than its factorization.

11185089283320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12335 (or 12331 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 11185089283320 in words is "eleven trillion, one hundred eighty-five billion, eighty-nine million, two hundred eighty-three thousand, three hundred twenty".