220771391616 has 640 divisors, whose sum is σ = 723895326000. Its totient is φ = 66503835648.

The previous prime is 220771391609. The next prime is 220771391671. The reversal of 220771391616 is 616193177022.

220771391616 is a `hidden beast` number, since 2 + 20 + 7 + 7 + 1 + 3 + 9 + 1 + 616 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 199723185216 + 21048206400 = 446904^2 + 145080^2 .

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, 632582610 + ... + 632582958.

Almost surely, 2^220771391616 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 220771391616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361947663000).

220771391616 is an abundant number, since it is smaller than the sum of its proper divisors (503123934384).

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

220771391616 is a wasteful number, since it uses less digits than its factorization.

220771391616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 220771391616 in words is "two hundred twenty billion, seven hundred seventy-one million, three hundred ninety-one thousand, six hundred sixteen".