11004010000 has 75 divisors (see below), whose sum is σ = 26667230161. Its totient is φ = 4397408000.

The previous prime is 11004009997. The next prime is 11004010001. The reversal of 11004010000 is 1040011.

It is a happy number.

The square root of 11004010000 is 104900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 3444750864 + 7559259136 = 58692^2 + 86944^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11004010001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10489476 + ... + 10490524.

Almost surely, 2^11004010000 is an apocalyptic number.

11004010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11004010000 is the 104900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11004010000

11004010000 is an abundant number, since it is smaller than the sum of its proper divisors (15663220161).

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

11004010000 is an frugal number, since it uses more digits than its factorization.

11004010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 11004010000 its reverse (1040011), we get a palindrome (11005050011).

The spelling of 11004010000 in words is "eleven billion, four million, ten thousand".