5200208640 has 288 divisors, whose sum is σ = 20132582400. Its totient is φ = 1260564480.

The previous prime is 5200208617. The next prime is 5200208653. The reversal of 5200208640 is 468020025.

5200208640 is a `hidden beast` number, since 520 + 0 + 20 + 86 + 40 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373321 + ... + 386999.

It is an arithmetic number, because the mean of its divisors is an integer number (69904800).

Almost surely, 2^5200208640 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 5200208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10066291200).

5200208640 is an abundant number, since it is smaller than the sum of its proper divisors (14932373760).

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

5200208640 is a wasteful number, since it uses less digits than its factorization.

5200208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13720 (or 13700 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5200208640 is about 72112.4721528807. The cubic root of 5200208640 is about 1732.5013811574.

Adding to 5200208640 its reverse (468020025), we get a palindrome (5668228665).

The spelling of 5200208640 in words is "five billion, two hundred million, two hundred eight thousand, six hundred forty".