5006713420800 has 2640 divisors, whose sum is σ = 23098774431040. Its totient is φ = 1049633095680.

The previous prime is 5006713420777. The next prime is 5006713420811. The reversal of 5006713420800 is 80243176005.

5006713420800 is a `hidden beast` number, since 500 + 6 + 71 + 3 + 4 + 2 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 31889894322 + ... + 31889894478.

Almost surely, 2^{5006713420800} is an apocalyptic number.

5006713420800 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 5006713420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11549387215520).

5006713420800 is an abundant number, since it is smaller than the sum of its proper divisors (18092061010240).

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

5006713420800 is a wasteful number, since it uses less digits than its factorization.

5006713420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 5006713420800 its reverse (80243176005), we get a palindrome (5086956596805).

The spelling of 5006713420800 in words is "five trillion, six billion, seven hundred thirteen million, four hundred twenty thousand, eight hundred".