220830987564 has 864 divisors, whose sum is σ = 726133524480. Its totient is φ = 56111616000.

The previous prime is 220830987493. The next prime is 220830987593. The reversal of 220830987564 is 465789038022.

220830987564 is a `hidden beast` number, since 2 + 208 + 309 + 8 + 75 + 64 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 220830987564.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2660614267 + ... + 2660614349.

It is an arithmetic number, because the mean of its divisors is an integer number (840432320).

Almost surely, 2^220830987564 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 220830987564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363066762240).

220830987564 is an abundant number, since it is smaller than the sum of its proper divisors (505302536916).

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

220830987564 is a wasteful number, since it uses less digits than its factorization.

220830987564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 220830987564 in words is "two hundred twenty billion, eight hundred thirty million, nine hundred eighty-seven thousand, five hundred sixty-four".