220552566624 has 288 divisors, whose sum is σ = 682409355264. Its totient is φ = 67165977600.

The previous prime is 220552566541. The next prime is 220552566629. The reversal of 220552566624 is 426665255022.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 220552566624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220552566629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207480717 + ... + 207481779.

It is an arithmetic number, because the mean of its divisors is an integer number (2369476928).

Almost surely, 2^220552566624 is an apocalyptic number.

220552566624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220552566624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341204677632).

220552566624 is an abundant number, since it is smaller than the sum of its proper divisors (461856788640).

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

220552566624 is a wasteful number, since it uses less digits than its factorization.

220552566624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 220552566624 in words is "two hundred twenty billion, five hundred fifty-two million, five hundred sixty-six thousand, six hundred twenty-four".