216090000000 has 960 divisors, whose sum is σ = 906766721640. Its totient is φ = 49392000000.

The previous prime is 216089999999. The next prime is 216090000011. The reversal of 216090000000 is 90612.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 130344105024 + 85745894976 = 361032^2 + 292824^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30869999997 + ... + 30870000003.

Almost surely, 2^216090000000 is an apocalyptic number.

216090000000 is a gapful number since it is divisible by the number (20) 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 216090000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453383360820).

216090000000 is an abundant number, since it is smaller than the sum of its proper divisors (690676721640).

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

216090000000 is an frugal number, since it uses more digits than its factorization.

216090000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 216090000000 its reverse (90612), we get a palindrome (216090090612).

The spelling of 216090000000 in words is "two hundred sixteen billion, ninety million", and thus it is an aban number.