5017420800 has 1056 divisors, whose sum is σ = 22661763840. Its totient is φ = 1061683200.

The previous prime is 5017420753. The next prime is 5017420843. The reversal of 5017420800 is 80247105.

It is a super-3 number, since 3×5017420800³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 82252770 + ... + 82252830.

Almost surely, 2^5017420800 is an apocalyptic number.

5017420800 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 5017420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11330881920).

5017420800 is an abundant number, since it is smaller than the sum of its proper divisors (17644343040).

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

5017420800 is a wasteful number, since it uses less digits than its factorization.

5017420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5017420800 is about 70833.7546654136. The cubic root of 5017420800 is about 1711.9595879476.

Adding to 5017420800 its reverse (80247105), we get a palindrome (5097667905).

The spelling of 5017420800 in words is "five billion, seventeen million, four hundred twenty thousand, eight hundred".