11025928000 has 336 divisors, whose sum is σ = 30654711360. Its totient is φ = 3916800000.

The previous prime is 11025927989. The next prime is 11025928003. The reversal of 11025928000 is 82952011.

It is a super-2 number, since 2×11025928000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11025928000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11025928003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43927875 + ... + 43928125.

It is an arithmetic number, because the mean of its divisors is an integer number (91234260).

Almost surely, 2^11025928000 is an apocalyptic number.

11025928000 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 11025928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15327355680).

11025928000 is an abundant number, since it is smaller than the sum of its proper divisors (19628783360).

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

11025928000 is a wasteful number, since it uses less digits than its factorization.

11025928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The spelling of 11025928000 in words is "eleven billion, twenty-five million, nine hundred twenty-eight thousand".