5183668224000 has 2128 divisors, whose sum is σ = 22885152715776. Its totient is φ = 1146617856000.

The previous prime is 5183668223977. The next prime is 5183668224001. The reversal of 5183668224000 is 4228663815.

5183668224000 is a `hidden beast` number, since 5 + 183 + 6 + 68 + 2 + 2 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5183668224001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 167215103985 + ... + 167215104015.

Almost surely, 2^{5183668224000} is an apocalyptic number.

5183668224000 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 5183668224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11442576357888).

5183668224000 is an abundant number, since it is smaller than the sum of its proper divisors (17701484491776).

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

5183668224000 is an frugal number, since it uses more digits than its factorization.

5183668224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 5183668224000 in words is "five trillion, one hundred eighty-three billion, six hundred sixty-eight million, two hundred twenty-four thousand".