5218142860800 has 600 divisors, whose sum is σ = 19504336789872. Its totient is φ = 1377699840000.

The previous prime is 5218142860771. The next prime is 5218142860817. The reversal of 5218142860800 is 80682418125.

5218142860800 is a `hidden beast` number, since 5 + 2 + 1 + 8 + 14 + 28 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 59 ways as a sum of consecutive naturals, for example, 104691885 + ... + 104741715.

Almost surely, 2^{5218142860800} is an apocalyptic number.

5218142860800 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 5218142860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9752168394936).

5218142860800 is an abundant number, since it is smaller than the sum of its proper divisors (14286193929072).

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

5218142860800 is a wasteful number, since it uses less digits than its factorization.

5218142860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49972 (or 49942 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 5218142860800 in words is "five trillion, two hundred eighteen billion, one hundred forty-two million, eight hundred sixty thousand, eight hundred".