5021452800 has 720 divisors, whose sum is σ = 22163581440. Its totient is φ = 1057259520.

The previous prime is 5021452783. The next prime is 5021452837. The reversal of 5021452800 is 82541205.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10482961 + ... + 10483439.

It is an arithmetic number, because the mean of its divisors is an integer number (30782752).

Almost surely, 2^5021452800 is an apocalyptic number.

5021452800 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 5021452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11081790720).

5021452800 is an abundant number, since it is smaller than the sum of its proper divisors (17142128640).

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

5021452800 is a wasteful number, since it uses less digits than its factorization.

5021452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5021452800 is about 70862.2099570709. The cubic root of 5021452800 is about 1712.4180421465.

The spelling of 5021452800 in words is "five billion, twenty-one million, four hundred fifty-two thousand, eight hundred".