11322528000 has 864 divisors, whose sum is σ = 45801624960. Its totient is φ = 2468659200.

The previous prime is 11322527989. The next prime is 11322528011. The reversal of 11322528000 is 82522311.

It is an interprime number because it is at equal distance from previous prime (11322527989) and next prime (11322528011).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 136415959 + ... + 136416041.

It is an arithmetic number, because the mean of its divisors is an integer number (53011140).

Almost surely, 2^11322528000 is an apocalyptic number.

11322528000 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 11322528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22900812480).

11322528000 is an abundant number, since it is smaller than the sum of its proper divisors (34479096960).

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

11322528000 is an equidigital number, since it uses as much as digits as its factorization.

11322528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 11322528000 in words is "eleven billion, three hundred twenty-two million, five hundred twenty-eight thousand".