11038848000 has 704 divisors, whose sum is σ = 41385427200. Its totient is φ = 2595225600.

The previous prime is 11038847969. The next prime is 11038848053. The reversal of 11038848000 is 84883011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124031956 + ... + 124032044.

Almost surely, 2^11038848000 is an apocalyptic number.

11038848000 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 11038848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20692713600).

11038848000 is an abundant number, since it is smaller than the sum of its proper divisors (30346579200).

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

11038848000 is a wasteful number, since it uses less digits than its factorization.

11038848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 11038848000 in words is "eleven billion, thirty-eight million, eight hundred forty-eight thousand".