5218373815200 has 3888 divisors, whose sum is σ = 25476913373184. Its totient is φ = 994929868800.

The previous prime is 5218373815181. The next prime is 5218373815301. The reversal of 5218373815200 is 25183738125.

5218373815200 is a `hidden beast` number, since 5 + 2 + 18 + 37 + 3 + 81 + 520 + 0 = 666.

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 647 ways as a sum of consecutive naturals, for example, 41089557537 + ... + 41089557663.

Almost surely, 2^{5218373815200} is an apocalyptic number.

5218373815200 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 5218373815200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12738456686592).

5218373815200 is an abundant number, since it is smaller than the sum of its proper divisors (20258539557984).

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

5218373815200 is a wasteful number, since it uses less digits than its factorization.

5218373815200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 5218373815200 in words is "five trillion, two hundred eighteen billion, three hundred seventy-three million, eight hundred fifteen thousand, two hundred".