5504253164800 has 216 divisors, whose sum is σ = 14779002505176. Its totient is φ = 2017500856320.

The previous prime is 5504253164797. The next prime is 5504253164821. The reversal of 5504253164800 is 84613524055.

It can be written as a sum of positive squares in 12 ways, for example, as 1392702096384 + 4111551068416 = 1180128^2 + 2027696^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11156952 + ... + 11639848.

Almost surely, 2^{5504253164800} is an apocalyptic number.

5504253164800 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 5504253164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7389501252588).

5504253164800 is an abundant number, since it is smaller than the sum of its proper divisors (9274749340376).

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

5504253164800 is a wasteful number, since it uses less digits than its factorization.

5504253164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483073 (or 483054 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 43.

Adding to 5504253164800 its reverse (84613524055), we get a palindrome (5588866688855).

The spelling of 5504253164800 in words is "five trillion, five hundred four billion, two hundred fifty-three million, one hundred sixty-four thousand, eight hundred".