5617256416 has 96 divisors (see below), whose sum is σ = 11953902240. Its totient is φ = 2588737536.

The previous prime is 5617256401. The next prime is 5617256423. The reversal of 5617256416 is 6146527165.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8346256 + ... + 8346928.

It is an arithmetic number, because the mean of its divisors is an integer number (124519815).

Almost surely, 2^5617256416 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 5617256416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5976951120).

5617256416 is an abundant number, since it is smaller than the sum of its proper divisors (6336645824).

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

5617256416 is a wasteful number, since it uses less digits than its factorization.

5617256416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 988 counting only the distinct ones).

The product of its digits is 302400, while the sum is 43.

The square root of 5617256416 is about 74948.3583275845. The cubic root of 5617256416 is about 1777.6301855573.

The spelling of 5617256416 in words is "five billion, six hundred seventeen million, two hundred fifty-six thousand, four hundred sixteen".