216528256000 has 1056 divisors, whose sum is σ = 698953881600. Its totient is φ = 66421555200.

The previous prime is 216528255997. The next prime is 216528256013. The reversal of 216528256000 is 652825612.

It is a congruent number.

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, 2740863961 + ... + 2740864039.

Almost surely, 2^216528256000 is an apocalyptic number.

216528256000 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 216528256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349476940800).

216528256000 is an abundant number, since it is smaller than the sum of its proper divisors (482425625600).

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

216528256000 is a wasteful number, since it uses less digits than its factorization.

216528256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 216528256000 in words is "two hundred sixteen billion, five hundred twenty-eight million, two hundred fifty-six thousand".