5205221568 has 224 divisors, whose sum is σ = 16643908800. Its totient is φ = 1588543488.

The previous prime is 5205221557. The next prime is 5205221569. The reversal of 5205221568 is 8651225025.

It is a happy number.

5205221568 is a `hidden beast` number, since 5 + 20 + 52 + 21 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5205221569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1084518 + ... + 1089306.

Almost surely, 2^5205221568 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 5205221568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8321954400).

5205221568 is an abundant number, since it is smaller than the sum of its proper divisors (11438687232).

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

5205221568 is a wasteful number, since it uses less digits than its factorization.

5205221568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4864 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 5205221568 is about 72147.2214849609. The cubic root of 5205221568 is about 1733.0579046914.

The spelling of 5205221568 in words is "five billion, two hundred five million, two hundred twenty-one thousand, five hundred sixty-eight".