5206400320 has 112 divisors (see below), whose sum is σ = 13677595200. Its totient is φ = 1871851520.

The previous prime is 5206400299. The next prime is 5206400323. The reversal of 5206400320 is 230046025.

It is a happy number.

It is a super-2 number, since 2×5206400320² = 54213208584192204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 5206400291 and 5206400300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5206400323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304971 + ... + 321589.

Almost surely, 2^5206400320 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 5206400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6838797600).

5206400320 is an abundant number, since it is smaller than the sum of its proper divisors (8471194880).

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

5206400320 is a wasteful number, since it uses less digits than its factorization.

5206400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16736 (or 16726 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 5206400320 is about 72155.3900966518. The cubic root of 5206400320 is about 1733.1887150875.

Adding to 5206400320 its reverse (230046025), we get a palindrome (5436446345).

The spelling of 5206400320 in words is "five billion, two hundred six million, four hundred thousand, three hundred twenty".