5063872400 has 120 divisors (see below), whose sum is σ = 12839728800. Its totient is φ = 1913932800.

The previous prime is 5063872391. The next prime is 5063872409. The reversal of 5063872400 is 42783605.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5063872391) and next prime (5063872409).

It is not an unprimeable number, because it can be changed into a prime (5063872409) 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, 4323815 + ... + 4324985.

It is an arithmetic number, because the mean of its divisors is an integer number (106997740).

Almost surely, 2^5063872400 is an apocalyptic number.

5063872400 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 5063872400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6419864400).

5063872400 is an abundant number, since it is smaller than the sum of its proper divisors (7775856400).

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

5063872400 is a wasteful number, since it uses less digits than its factorization.

5063872400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 5063872400 is about 71160.8909443944. The cubic root of 5063872400 is about 1717.2265108804.

The spelling of 5063872400 in words is "five billion, sixty-three million, eight hundred seventy-two thousand, four hundred".