11004540501300 has 144 divisors (see below), whose sum is σ = 32368031438400. Its totient is φ = 2885878195200.

The previous prime is 11004540501217. The next prime is 11004540501307. The reversal of 11004540501300 is 310504540011.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11004540501307) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 99112216 + ... + 99223184.

It is an arithmetic number, because the mean of its divisors is an integer number (224777996100).

Almost surely, 2^{11004540501300} is an apocalyptic number.

11004540501300 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 11004540501300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16184015719200).

11004540501300 is an abundant number, since it is smaller than the sum of its proper divisors (21363490937100).

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

11004540501300 is a wasteful number, since it uses less digits than its factorization.

11004540501300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116466 (or 116459 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 11004540501300 in words is "eleven trillion, four billion, five hundred forty million, five hundred one thousand, three hundred".