216810380160 has 640 divisors, whose sum is σ = 889157174400. Its totient is φ = 49791283200.

The previous prime is 216810380153. The next prime is 216810380177. The reversal of 216810380160 is 61083018612.

216810380160 is a `hidden beast` number, since 216 + 8 + 1 + 0 + 380 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10824555 + ... + 10844565.

It is an arithmetic number, because the mean of its divisors is an integer number (1389308085).

Almost surely, 2^216810380160 is an apocalyptic number.

216810380160 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 216810380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444578587200).

216810380160 is an abundant number, since it is smaller than the sum of its proper divisors (672346794240).

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

216810380160 is a wasteful number, since it uses less digits than its factorization.

216810380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20072 (or 20051 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 216810380160 its reverse (61083018612), we get a palindrome (277893398772).

The spelling of 216810380160 in words is "two hundred sixteen billion, eight hundred ten million, three hundred eighty thousand, one hundred sixty".