1089216000 has 480 divisors, whose sum is σ = 4116093696. Its totient is φ = 276480000.

The previous prime is 1089215999. The next prime is 1089216043. The reversal of 1089216000 is 6129801.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17855970 + ... + 17856030.

Almost surely, 2^1089216000 is an apocalyptic number.

1089216000 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 1089216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058046848).

1089216000 is an abundant number, since it is smaller than the sum of its proper divisors (3026877696).

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

1089216000 is an equidigital number, since it uses as much as digits as its factorization.

1089216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1089216000 is about 33003.2725650048. The cubic root of 1089216000 is about 1028.8956649760.

It can be divided in two parts, 108921 and 6000, that added together give a square (114921 = 339²).

The spelling of 1089216000 in words is "one billion, eighty-nine million, two hundred sixteen thousand".