11539008000 has 960 divisors, whose sum is σ = 47401466112. Its totient is φ = 2676326400.

The previous prime is 11539007999. The next prime is 11539008001. The reversal of 11539008000 is 80093511.

It is an interprime number because it is at equal distance from previous prime (11539007999) and next prime (11539008001).

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (11539008001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 172223967 + ... + 172224033.

Almost surely, 2^11539008000 is an apocalyptic number.

11539008000 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 11539008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23700733056).

11539008000 is an abundant number, since it is smaller than the sum of its proper divisors (35862458112).

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

11539008000 is a wasteful number, since it uses less digits than its factorization.

11539008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 11539008000 in words is "eleven billion, five hundred thirty-nine million, eight thousand".