216581756112 has 240 divisors, whose sum is σ = 635308028160. Its totient is φ = 68808268800.

The previous prime is 216581756107. The next prime is 216581756119. The reversal of 216581756112 is 211657185612.

216581756112 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 81 + 7 + 561 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216581756119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88075939 + ... + 88078397.

It is an arithmetic number, because the mean of its divisors is an integer number (2647116784).

Almost surely, 2^216581756112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216581756112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317654014080).

216581756112 is an abundant number, since it is smaller than the sum of its proper divisors (418726272048).

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

216581756112 is a wasteful number, since it uses less digits than its factorization.

216581756112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2833 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The spelling of 216581756112 in words is "two hundred sixteen billion, five hundred eighty-one million, seven hundred fifty-six thousand, one hundred twelve".