5186424883200 has 1152 divisors, whose sum is σ = 19252287774720. Its totient is φ = 1220935680000.

The previous prime is 5186424883193. The next prime is 5186424883349. The reversal of 5186424883200 is 23884246815.

It is a super-2 number, since 2×5186424883200² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19138099065 + ... + 19138099335.

It is an arithmetic number, because the mean of its divisors is an integer number (16712055360).

Almost surely, 2^{5186424883200} is an apocalyptic number.

5186424883200 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 5186424883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9626143887360).

5186424883200 is an abundant number, since it is smaller than the sum of its proper divisors (14065862891520).

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

5186424883200 is a wasteful number, since it uses less digits than its factorization.

5186424883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 5186424883200 in words is "five trillion, one hundred eighty-six billion, four hundred twenty-four million, eight hundred eighty-three thousand, two hundred".