11001318430080 has 512 divisors, whose sum is σ = 41811504721920. Its totient is φ = 2429131161600.

The previous prime is 11001318429967. The next prime is 11001318430087. The reversal of 11001318430080 is 8003481310011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001318430087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10636032 + ... + 11624448.

It is an arithmetic number, because the mean of its divisors is an integer number (81663095160).

Almost surely, 2^{11001318430080} is an apocalyptic number.

11001318430080 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 11001318430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20905752360960).

11001318430080 is an abundant number, since it is smaller than the sum of its proper divisors (30810186291840).

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

11001318430080 is a wasteful number, since it uses less digits than its factorization.

11001318430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988498 (or 988486 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

Adding to 11001318430080 its reverse (8003481310011), we get a palindrome (19004799740091).

The spelling of 11001318430080 in words is "eleven trillion, one billion, three hundred eighteen million, four hundred thirty thousand, eighty".