5200962006240 has 3456 divisors, whose sum is σ = 25740262259712. Its totient is φ = 938076733440.

The previous prime is 5200962006223. The next prime is 5200962006241. The reversal of 5200962006240 is 426002690025.

5200962006240 is a `hidden beast` number, since 5 + 2 + 0 + 0 + 9 + 6 + 20 + 0 + 624 + 0 = 666.

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 = 5200962006195 and 5200962006204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5200962006241) 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 575 ways as a sum of consecutive naturals, for example, 16941244167 + ... + 16941244473.

It is an arithmetic number, because the mean of its divisors is an integer number (7447992552).

Almost surely, 2^{5200962006240} 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 5200962006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12870131129856).

5200962006240 is an abundant number, since it is smaller than the sum of its proper divisors (20539300253472).

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

5200962006240 is a wasteful number, since it uses less digits than its factorization.

5200962006240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 5200962006240 its reverse (426002690025), we get a palindrome (5626964696265).

The spelling of 5200962006240 in words is "five trillion, two hundred billion, nine hundred sixty-two million, six thousand, two hundred forty".