5519527680 has 288 divisors, whose sum is σ = 18366566400. Its totient is φ = 1411153920.

The previous prime is 5519527667. The next prime is 5519527709. The reversal of 5519527680 is 867259155.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23688844 + ... + 23689076.

It is an arithmetic number, because the mean of its divisors is an integer number (63772800).

Almost surely, 2^5519527680 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 5519527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9183283200).

5519527680 is an abundant number, since it is smaller than the sum of its proper divisors (12847038720).

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

5519527680 is a wasteful number, since it uses less digits than its factorization.

5519527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 48.

The square root of 5519527680 is about 74293.5238092796. The cubic root of 5519527680 is about 1767.2607762544.

The spelling of 5519527680 in words is "five billion, five hundred nineteen million, five hundred twenty-seven thousand, six hundred eighty".