5218500893760 has 2352 divisors, whose sum is σ = 23908344676992. Its totient is φ = 1084363822080.

The previous prime is 5218500893731. The next prime is 5218500893773. The reversal of 5218500893760 is 673980058125.

5218500893760 is a `hidden beast` number, since 5 + 21 + 8 + 500 + 89 + 37 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5218500893697 and 5218500893706.

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 335 ways as a sum of consecutive naturals, for example, 474409172155 + ... + 474409172165.

Almost surely, 2^{5218500893760} 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 5218500893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11954172338496).

5218500893760 is an abundant number, since it is smaller than the sum of its proper divisors (18689843783232).

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

5218500893760 is an frugal number, since it uses more digits than its factorization.

5218500893760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 5218500893760 in words is "five trillion, two hundred eighteen billion, five hundred million, eight hundred ninety-three thousand, seven hundred sixty".