220531025039616 has 432 divisors, whose sum is σ = 687815435758080. Its totient is φ = 69625294295040.

The previous prime is 220531025039609. The next prime is 220531025039653. The reversal of 220531025039616 is 616930520135022.

220531025039616 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 3 + 1 + 0 + 25 + 0 + 3 + 9 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473093890 + ... + 473559806.

Almost surely, 2^{220531025039616} 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 220531025039616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343907717879040).

220531025039616 is an abundant number, since it is smaller than the sum of its proper divisors (467284410718464).

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

220531025039616 is an equidigital number, since it uses as much as digits as its factorization.

220531025039616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466067 (or 466000 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 220531025039616 in words is "two hundred twenty trillion, five hundred thirty-one billion, twenty-five million, thirty-nine thousand, six hundred sixteen".