5205594240 has 768 divisors, whose sum is σ = 22829264640. Its totient is φ = 1070530560.

The previous prime is 5205594239. The next prime is 5205594257. The reversal of 5205594240 is 424955025.

5205594240 is a `hidden beast` number, since 5 + 20 + 5 + 594 + 2 + 40 = 666.

It is a super-2 number, since 2×5205594240² = 54196422783042355200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5205594195 and 5205594204.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 53665872 + ... + 53665968.

It is an arithmetic number, because the mean of its divisors is an integer number (29725605).

Almost surely, 2^5205594240 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 5205594240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11414632320).

5205594240 is an abundant number, since it is smaller than the sum of its proper divisors (17623670400).

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

5205594240 is a wasteful number, since it uses less digits than its factorization.

5205594240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5205594240 is about 72149.8041577384. The cubic root of 5205594240 is about 1733.0992635931.

The spelling of 5205594240 in words is "five billion, two hundred five million, five hundred ninety-four thousand, two hundred forty".