5505561100800 has 480 divisors, whose sum is σ = 20295112368960. Its totient is φ = 1461827174400.

The previous prime is 5505561100799. The next prime is 5505561100801. The reversal of 5505561100800 is 80011655055.

5505561100800 is a `hidden beast` number, since 5 + 5 + 0 + 5 + 561 + 10 + 0 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5505561100799) and next prime (5505561100801).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×5505561100800² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5505561100801) 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 47 ways as a sum of consecutive naturals, for example, 80490615 + ... + 80558985.

It is an arithmetic number, because the mean of its divisors is an integer number (42281484102).

Almost surely, 2^{5505561100800} is an apocalyptic number.

5505561100800 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 5505561100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10147556184480).

5505561100800 is an abundant number, since it is smaller than the sum of its proper divisors (14789551268160).

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

5505561100800 is a wasteful number, since it uses less digits than its factorization.

5505561100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68641 (or 68614 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

Adding to 5505561100800 its reverse (80011655055), we get a palindrome (5585572755855).

The spelling of 5505561100800 in words is "five trillion, five hundred five billion, five hundred sixty-one million, one hundred thousand, eight hundred".