5480848800 has 720 divisors, whose sum is σ = 23457373632. Its totient is φ = 1219276800.

The previous prime is 5480848781. The next prime is 5480848829. The reversal of 5480848800 is 88480845.

It is a happy number.

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

It is a super-2 number, since 2×5480848800² = 60079407136922880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19504660 + ... + 19504940.

Almost surely, 2^5480848800 is an apocalyptic number.

5480848800 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 5480848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11728686816).

5480848800 is an abundant number, since it is smaller than the sum of its proper divisors (17976524832).

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

5480848800 is a wasteful number, since it uses less digits than its factorization.

5480848800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 5480848800 is about 74032.7549129438. The cubic root of 5480848800 is about 1763.1229848399.

The spelling of 5480848800 in words is "five billion, four hundred eighty million, eight hundred forty-eight thousand, eight hundred".