5208502988640 has 1728 divisors, whose sum is σ = 21147336258048. Its totient is φ = 1071771402240.

The previous prime is 5208502988639. The next prime is 5208502988641. The reversal of 5208502988640 is 468892058025.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5208502988639) and next prime (5208502988641).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5208502988641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22354089964 + ... + 22354090196.

It is an arithmetic number, because the mean of its divisors is an integer number (12238041816).

Almost surely, 2^{5208502988640} 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 5208502988640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10573668129024).

5208502988640 is an abundant number, since it is smaller than the sum of its proper divisors (15938833269408).

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

5208502988640 is a wasteful number, since it uses less digits than its factorization.

5208502988640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 57.

The spelling of 5208502988640 in words is "five trillion, two hundred eight billion, five hundred two million, nine hundred eighty-eight thousand, six hundred forty".