5220705718800 has 1440 divisors, whose sum is σ = 23723595342720. Its totient is φ = 1041643929600.

The previous prime is 5220705718751. The next prime is 5220705718847. The reversal of 5220705718800 is 88175070225.

5220705718800 is a `hidden beast` number, since 5 + 2 + 2 + 0 + 70 + 571 + 8 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×5220705718800² (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 an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 166264702 + ... + 166296098.

It is an arithmetic number, because the mean of its divisors is an integer number (16474718988).

Almost surely, 2^{5220705718800} is an apocalyptic number.

5220705718800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5220705718800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11861797671360).

5220705718800 is an abundant number, since it is smaller than the sum of its proper divisors (18502889623920).

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

5220705718800 is a wasteful number, since it uses less digits than its factorization.

5220705718800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31481 (or 31467 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 5220705718800 in words is "five trillion, two hundred twenty billion, seven hundred five million, seven hundred eighteen thousand, eight hundred".