5206238780880 has 640 divisors, whose sum is σ = 17752463769600. Its totient is φ = 1258990387200.

The previous prime is 5206238780857. The next prime is 5206238780947. The reversal of 5206238780880 is 880878326025.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5206238780880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 891629001 + ... + 891634839.

It is an arithmetic number, because the mean of its divisors is an integer number (27738224640).

Almost surely, 2^{5206238780880} 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 5206238780880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8876231884800).

5206238780880 is an abundant number, since it is smaller than the sum of its proper divisors (12546224988720).

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

5206238780880 is a wasteful number, since it uses less digits than its factorization.

5206238780880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6043 (or 6037 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 5206238780880 in words is "five trillion, two hundred six billion, two hundred thirty-eight million, seven hundred eighty thousand, eight hundred eighty".