5617055808 has 560 divisors, whose sum is σ = 20997468800. Its totient is φ = 1481421312.

The previous prime is 5617055783. The next prime is 5617055809. The reversal of 5617055808 is 8085507165.

5617055808 is a `hidden beast` number, since 5 + 61 + 7 + 0 + 5 + 580 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (5617055809) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 432081210 + ... + 432081222.

It is an arithmetic number, because the mean of its divisors is an integer number (37495480).

Almost surely, 2^5617055808 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 5617055808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10498734400).

5617055808 is an abundant number, since it is smaller than the sum of its proper divisors (15380412992).

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

5617055808 is an frugal number, since it uses more digits than its factorization.

5617055808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The square root of 5617055808 is about 74947.0200074693. The cubic root of 5617055808 is about 1777.6090239169.

The spelling of 5617055808 in words is "five billion, six hundred seventeen million, fifty-five thousand, eight hundred eight".