5014204800 has 384 divisors, whose sum is σ = 18231333120. Its totient is φ = 1201152000.

The previous prime is 5014204799. The next prime is 5014204817. The reversal of 5014204800 is 84024105.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10876570 + ... + 10877030.

It is an arithmetic number, because the mean of its divisors is an integer number (47477430).

Almost surely, 2^5014204800 is an apocalyptic number.

5014204800 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 5014204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9115666560).

5014204800 is an abundant number, since it is smaller than the sum of its proper divisors (13217128320).

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

5014204800 is a wasteful number, since it uses less digits than its factorization.

5014204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 5014204800 is about 70811.0499851542. The cubic root of 5014204800 is about 1711.5937400356.

Adding to 5014204800 its reverse (84024105), we get a palindrome (5098228905).

The spelling of 5014204800 in words is "five billion, fourteen million, two hundred four thousand, eight hundred".