220582116216 has 1536 divisors, whose sum is σ = 882524160000. Its totient is φ = 49679308800.

The previous prime is 220582116211. The next prime is 220582116233. The reversal of 220582116216 is 612611285022.

220582116216 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 8 + 21 + 1 + 621 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220582116211) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2478450700 + ... + 2478450788.

It is an arithmetic number, because the mean of its divisors is an integer number (574560000).

Almost surely, 2^220582116216 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 220582116216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441262080000).

220582116216 is an abundant number, since it is smaller than the sum of its proper divisors (661942043784).

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

220582116216 is a wasteful number, since it uses less digits than its factorization.

220582116216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 220582116216 in words is "two hundred twenty billion, five hundred eighty-two million, one hundred sixteen thousand, two hundred sixteen".