5541288994800 has 720 divisors, whose sum is σ = 21837354229600. Its totient is φ = 1289945088000.

The previous prime is 5541288994793. The next prime is 5541288994849. The reversal of 5541288994800 is 84998821455.

5541288994800 is a `hidden beast` number, since 5 + 5 + 41 + 28 + 8 + 99 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 534404016 + ... + 534414384.

Almost surely, 2^{5541288994800} is an apocalyptic number.

5541288994800 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 5541288994800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10918677114800).

5541288994800 is an abundant number, since it is smaller than the sum of its proper divisors (16296065234800).

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

5541288994800 is a wasteful number, since it uses less digits than its factorization.

5541288994800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11026 (or 11012 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 5541288994800 in words is "five trillion, five hundred forty-one billion, two hundred eighty-eight million, nine hundred ninety-four thousand, eight hundred".