5617817856 has 648 divisors, whose sum is σ = 20780366880. Its totient is φ = 1504935936.

The previous prime is 5617817851. The next prime is 5617817879. The reversal of 5617817856 is 6587187165.

5617817856 is a `hidden beast` number, since 5 + 617 + 8 + 17 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

Its product of digits (2822400) is a multiple of the sum of its prime divisors (128).

It is not an unprimeable number, because it can be changed into a prime (5617817851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57915600 + ... + 57915696.

Almost surely, 2^5617817856 is an apocalyptic number.

5617817856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5617817856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10390183440).

5617817856 is an abundant number, since it is smaller than the sum of its proper divisors (15162549024).

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

5617817856 is an equidigital number, since it uses as much as digits as its factorization.

5617817856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 128 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 54.

The square root of 5617817856 is about 74952.1037463259. The cubic root of 5617817856 is about 1777.6894077926.

The spelling of 5617817856 in words is "five billion, six hundred seventeen million, eight hundred seventeen thousand, eight hundred fifty-six".