5540659200 has 450 divisors, whose sum is σ = 20648714856. Its totient is φ = 1468661760.

The previous prime is 5540659199. The next prime is 5540659207. The reversal of 5540659200 is 29560455.

It is a tau number, because it is divible by the number of its divisors (450).

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 (5540659207) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 33177517 + ... + 33177683.

Almost surely, 2^5540659200 is an apocalyptic number.

5540659200 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 5540659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10324357428).

5540659200 is an abundant number, since it is smaller than the sum of its proper divisors (15108055656).

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

5540659200 is an equidigital number, since it uses as much as digits as its factorization.

5540659200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 5540659200 is about 74435.6043839237. The cubic root of 5540659200 is about 1769.5132243723.

The spelling of 5540659200 in words is "five billion, five hundred forty million, six hundred fifty-nine thousand, two hundred".