5541580800 has 468 divisors, whose sum is σ = 22710694240. Its totient is φ = 1265172480.

The previous prime is 5541580777. The next prime is 5541580823. The reversal of 5541580800 is 80851455.

It is an interprime number because it is at equal distance from previous prime (5541580777) and next prime (5541580823).

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

It is a congruent number.

It is an unprimeable number.

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, 6450771 + ... + 6451629.

Almost surely, 2^5541580800 is an apocalyptic number.

5541580800 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 5541580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11355347120).

5541580800 is an abundant number, since it is smaller than the sum of its proper divisors (17169113440).

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

5541580800 is a wasteful number, since it uses less digits than its factorization.

5541580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 5541580800 is about 74441.7947123791. The cubic root of 5541580800 is about 1769.6113290032.

The spelling of 5541580800 in words is "five billion, five hundred forty-one million, five hundred eighty thousand, eight hundred".