2011104000000 has 504 divisors, whose sum is σ = 7261493770440. Its totient is φ = 536217600000.

The previous prime is 2011103999953. The next prime is 2011104000041. The reversal of 2011104000000 is 4011102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 287996509 + ... + 288003491.

It is an arithmetic number, because the mean of its divisors is an integer number (14407725735).

Almost surely, 2^{2011104000000} is an apocalyptic number.

2011104000000 is a gapful number since it is divisible by the number (20) 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 2011104000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630746885220).

2011104000000 is an abundant number, since it is smaller than the sum of its proper divisors (5250389770440).

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

2011104000000 is an frugal number, since it uses more digits than its factorization.

2011104000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7041 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2011104000000 its reverse (4011102), we get a palindrome (2011108011102).

The spelling of 2011104000000 in words is "two trillion, eleven billion, one hundred four million", and thus it is an aban number.