5225827200 has 768 divisors, whose sum is σ = 20653678080. Its totient is φ = 1146880000.

The previous prime is 5225827199. The next prime is 5225827247. The reversal of 5225827200 is 27285225.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73603165 + ... + 73603235.

It is an arithmetic number, because the mean of its divisors is an integer number (26892810).

Almost surely, 2^5225827200 is an apocalyptic number.

5225827200 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 5225827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10326839040).

5225827200 is an abundant number, since it is smaller than the sum of its proper divisors (15427850880).

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

5225827200 is a wasteful number, since it uses less digits than its factorization.

5225827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 5225827200 is about 72289.8831096025. The cubic root of 5225827200 is about 1735.3417482147.

The spelling of 5225827200 in words is "five billion, two hundred twenty-five million, eight hundred twenty-seven thousand, two hundred".