11032128000 has 480 divisors, whose sum is σ = 40331079360. Its totient is φ = 2898124800.

The previous prime is 11032127999. The next prime is 11032128059. The reversal of 11032128000 is 82123011.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61631911 + ... + 61632089.

It is an arithmetic number, because the mean of its divisors is an integer number (84023082).

Almost surely, 2^11032128000 is an apocalyptic number.

11032128000 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 11032128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20165539680).

11032128000 is an abundant number, since it is smaller than the sum of its proper divisors (29298951360).

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

11032128000 is a wasteful number, since it uses less digits than its factorization.

11032128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 11032128000 in words is "eleven billion, thirty-two million, one hundred twenty-eight thousand".