216253833120 has 432 divisors, whose sum is σ = 807425767512. Its totient is φ = 52677181440.

The previous prime is 216253833119. The next prime is 216253833137. The reversal of 216253833120 is 21338352612.

216253833120 is a `hidden beast` number, since 2 + 1 + 625 + 3 + 8 + 3 + 3 + 1 + 20 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 6881697936 + 209372135184 = 82956^2 + 457572^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23601340 + ... + 23610500.

Almost surely, 2^216253833120 is an apocalyptic number.

216253833120 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 216253833120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403712883756).

216253833120 is an abundant number, since it is smaller than the sum of its proper divisors (591171934392).

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

216253833120 is a wasteful number, since it uses less digits than its factorization.

216253833120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9305 (or 9281 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 216253833120 in words is "two hundred sixteen billion, two hundred fifty-three million, eight hundred thirty-three thousand, one hundred twenty".