5519580480 has 336 divisors, whose sum is σ = 20027554560. Its totient is φ = 1392500736.

The previous prime is 5519580461. The next prime is 5519580497. The reversal of 5519580480 is 840859155.

It is a happy number.

5519580480 is a `hidden beast` number, since 5 + 5 + 1 + 95 + 80 + 480 = 666.

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 47 ways as a sum of consecutive naturals, for example, 6822316 + ... + 6823124.

Almost surely, 2^5519580480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5519580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10013777280).

5519580480 is an abundant number, since it is smaller than the sum of its proper divisors (14507974080).

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

5519580480 is a wasteful number, since it uses less digits than its factorization.

5519580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The square root of 5519580480 is about 74293.8791556882. The cubic root of 5519580480 is about 1767.2664114631.

The spelling of 5519580480 in words is "five billion, five hundred nineteen million, five hundred eighty thousand, four hundred eighty".