11000004488000 has 252 divisors, whose sum is σ = 29952033786948. Its totient is φ = 3998815040000.

The previous prime is 11000004487999. The next prime is 11000004488041. The reversal of 11000004488000 is 88440000011.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 352000143616 + 10648004344384 = 593296^2 + 3263128^2 .

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3263126315 + ... + 3263129685.

Almost surely, 2^{11000004488000} is an apocalyptic number.

11000004488000 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 11000004488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14976016893474).

11000004488000 is an abundant number, since it is smaller than the sum of its proper divisors (18952029298948).

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

11000004488000 is an frugal number, since it uses more digits than its factorization.

11000004488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6791 (or 3389 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

Adding to 11000004488000 its reverse (88440000011), we get a palindrome (11088444488011).

The spelling of 11000004488000 in words is "eleven trillion, four million, four hundred eighty-eight thousand".