5200617425760 has 432 divisors, whose sum is σ = 18625484116512. Its totient is φ = 1318930145280.

The previous prime is 5200617425711. The next prime is 5200617425779. The reversal of 5200617425760 is 675247160025.

5200617425760 is a `hidden beast` number, since 5 + 2 + 0 + 0 + 6 + 1 + 74 + 2 + 576 + 0 = 666.

It is a super-2 number, since 2×5200617425760² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1085041924 + ... + 1085046716.

It is an arithmetic number, because the mean of its divisors is an integer number (43114546566).

Almost surely, 2^{5200617425760} 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 5200617425760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9312742058256).

5200617425760 is an abundant number, since it is smaller than the sum of its proper divisors (13424866690752).

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

5200617425760 is a wasteful number, since it uses less digits than its factorization.

5200617425760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5199 (or 5007 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 5200617425760 in words is "five trillion, two hundred billion, six hundred seventeen million, four hundred twenty-five thousand, seven hundred sixty".