5509939680 has 768 divisors, whose sum is σ = 23398502400. Its totient is φ = 1184440320.

The previous prime is 5509939679. The next prime is 5509939681. The reversal of 5509939680 is 869399055.

5509939680 is a `hidden beast` number, since 550 + 9 + 9 + 3 + 9 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5509939679) and next prime (5509939681).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5509939681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53494509 + ... + 53494611.

It is an arithmetic number, because the mean of its divisors is an integer number (30466800).

Almost surely, 2^5509939680 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 5509939680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11699251200).

5509939680 is an abundant number, since it is smaller than the sum of its proper divisors (17888562720).

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

5509939680 is a wasteful number, since it uses less digits than its factorization.

5509939680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The square root of 5509939680 is about 74228.9679303168. The cubic root of 5509939680 is about 1766.2368772155.

The spelling of 5509939680 in words is "five billion, five hundred nine million, nine hundred thirty-nine thousand, six hundred eighty".