5540225600 has 252 divisors, whose sum is σ = 16876312704. Its totient is φ = 1752791040.

The previous prime is 5540225597. The next prime is 5540225609. The reversal of 5540225600 is 65220455.

It is not an unprimeable number, because it can be changed into a prime (5540225609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1891337 + ... + 1894263.

Almost surely, 2^5540225600 is an apocalyptic number.

5540225600 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 5540225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8438156352).

5540225600 is an abundant number, since it is smaller than the sum of its proper divisors (11336087104).

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

5540225600 is a wasteful number, since it uses less digits than its factorization.

5540225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 5540225600 is about 74432.6917422714. The cubic root of 5540225600 is about 1769.4670637428.

The spelling of 5540225600 in words is "five billion, five hundred forty million, two hundred twenty-five thousand, six hundred".