5016457600 has 192 divisors, whose sum is σ = 15450796800. Its totient is φ = 1563494400.

The previous prime is 5016457583. The next prime is 5016457609. The reversal of 5016457600 is 67546105.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5016457609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236221 + ... + 256579.

It is an arithmetic number, because the mean of its divisors is an integer number (80472900).

Almost surely, 2^5016457600 is an apocalyptic number.

5016457600 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 5016457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7725398400).

5016457600 is an abundant number, since it is smaller than the sum of its proper divisors (10434339200).

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

5016457600 is a wasteful number, since it uses less digits than its factorization.

5016457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20401 (or 20384 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 5016457600 is about 70826.9553206969. The cubic root of 5016457600 is about 1711.8500319911.

The spelling of 5016457600 in words is "five billion, sixteen million, four hundred fifty-seven thousand, six hundred".