220530901968 has 240 divisors, whose sum is σ = 700581854336. Its totient is φ = 66742341120.

The previous prime is 220530901951. The next prime is 220530901973. The reversal of 220530901968 is 869109035022.

220530901968 is a `hidden beast` number, since 2 + 20 + 530 + 9 + 0 + 1 + 96 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3047421 + ... + 3118947.

Almost surely, 2^220530901968 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 220530901968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350290927168).

220530901968 is an abundant number, since it is smaller than the sum of its proper divisors (480050952368).

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

220530901968 is a wasteful number, since it uses less digits than its factorization.

220530901968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71624 (or 71606 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 220530901968 in words is "two hundred twenty billion, five hundred thirty million, nine hundred one thousand, nine hundred sixty-eight".