11035104000 has 288 divisors, whose sum is σ = 37192296960. Its totient is φ = 2899456000.

The previous prime is 11035103969. The next prime is 11035104029. The reversal of 11035104000 is 40153011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6815191 + ... + 6816809.

It is an arithmetic number, because the mean of its divisors is an integer number (129139920).

Almost surely, 2^11035104000 is an apocalyptic number.

11035104000 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 11035104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18596148480).

11035104000 is an abundant number, since it is smaller than the sum of its proper divisors (26157192960).

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

11035104000 is an equidigital number, since it uses as much as digits as its factorization.

11035104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 11035104000 its reverse (40153011), we get a palindrome (11075257011).

The spelling of 11035104000 in words is "eleven billion, thirty-five million, one hundred four thousand".