5480217600 has 528 divisors, whose sum is σ = 21321552000. Its totient is φ = 1223884800.

The previous prime is 5480217599. The next prime is 5480217629. The reversal of 5480217600 is 67120845.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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, 10982151 + ... + 10982649.

Almost surely, 2^5480217600 is an apocalyptic number.

5480217600 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 5480217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10660776000).

5480217600 is an abundant number, since it is smaller than the sum of its proper divisors (15841334400).

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

5480217600 is a wasteful number, since it uses less digits than its factorization.

5480217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 5480217600 is about 74028.4918122745. The cubic root of 5480217600 is about 1763.0552990980.

The spelling of 5480217600 in words is "five billion, four hundred eighty million, two hundred seventeen thousand, six hundred".