5521267200 has 240 divisors, whose sum is σ = 18555910560. Its totient is φ = 1446789120.

The previous prime is 5521267187. The next prime is 5521267207. The reversal of 5521267200 is 27621255.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5521267207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2264382 + ... + 2266818.

It is an arithmetic number, because the mean of its divisors is an integer number (77316294).

Almost surely, 2^5521267200 is an apocalyptic number.

5521267200 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 5521267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9277955280).

5521267200 is an abundant number, since it is smaller than the sum of its proper divisors (13034643360).

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

5521267200 is a wasteful number, since it uses less digits than its factorization.

5521267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 5521267200 is about 74305.2299639803. The cubic root of 5521267200 is about 1767.4464118588.

Adding to 5521267200 its reverse (27621255), we get a palindrome (5548888455).

The spelling of 5521267200 in words is "five billion, five hundred twenty-one million, two hundred sixty-seven thousand, two hundred".