11085798024 has 384 divisors, whose sum is σ = 36995644800. Its totient is φ = 3103930368.

The previous prime is 11085798019. The next prime is 11085798029. The reversal of 11085798024 is 42089758011.

It is an interprime number because it is at equal distance from previous prime (11085798019) and next prime (11085798029).

It is not an unprimeable number, because it can be changed into a prime (11085798029) 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, 57439272 + ... + 57439464.

It is an arithmetic number, because the mean of its divisors is an integer number (96342825).

Almost surely, 2^11085798024 is an apocalyptic number.

11085798024 is a gapful number since it is divisible by the number (14) 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 11085798024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18497822400).

11085798024 is an abundant number, since it is smaller than the sum of its proper divisors (25909846776).

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

11085798024 is an equidigital number, since it uses as much as digits as its factorization.

11085798024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 11085798024 in words is "eleven billion, eighty-five million, seven hundred ninety-eight thousand, twenty-four".