11590128000 has 768 divisors, whose sum is σ = 47262458880. Its totient is φ = 2799360000.

The previous prime is 11590127987. The next prime is 11590128049. The reversal of 11590128000 is 82109511.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42767865 + ... + 42768135.

It is an arithmetic number, because the mean of its divisors is an integer number (61539660).

Almost surely, 2^11590128000 is an apocalyptic number.

11590128000 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 11590128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23631229440).

11590128000 is an abundant number, since it is smaller than the sum of its proper divisors (35672330880).

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

11590128000 is an equidigital number, since it uses as much as digits as its factorization.

11590128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 11590128000 in words is "eleven billion, five hundred ninety million, one hundred twenty-eight thousand".