5227084800 has 594 divisors, whose sum is σ = 21818039568. Its totient is φ = 1192181760.

The previous prime is 5227084783. The next prime is 5227084801. The reversal of 5227084800 is 84807225.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5227084801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 11289369 + ... + 11289831.

Almost surely, 2^5227084800 is an apocalyptic number.

5227084800 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 5227084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10909019784).

5227084800 is an abundant number, since it is smaller than the sum of its proper divisors (16590954768).

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

5227084800 is a wasteful number, since it uses less digits than its factorization.

5227084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 5227084800 is about 72298.5808989360. The cubic root of 5227084800 is about 1735.4809408987.

The spelling of 5227084800 in words is "five billion, two hundred twenty-seven million, eighty-four thousand, eight hundred".