5514808320 has 704 divisors, whose sum is σ = 23109811200. Its totient is φ = 1220935680.

The previous prime is 5514808291. The next prime is 5514808331. The reversal of 5514808320 is 238084155.

It is a happy number.

5514808320 is a `hidden beast` number, since 551 + 4 + 8 + 0 + 83 + 20 = 666.

It is a super-2 number, since 2×5514808320² = 60826221612682444800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39674811 + ... + 39674949.

Almost surely, 2^5514808320 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 5514808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11554905600).

5514808320 is an abundant number, since it is smaller than the sum of its proper divisors (17595002880).

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

5514808320 is a wasteful number, since it uses less digits than its factorization.

5514808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5514808320 is about 74261.7554330626. The cubic root of 5514808320 is about 1766.7569458236.

The spelling of 5514808320 in words is "five billion, five hundred fourteen million, eight hundred eight thousand, three hundred twenty".