5617982016 has 224 divisors, whose sum is σ = 17526000000. Its totient is φ = 1759739904.

The previous prime is 5617982009. The next prime is 5617982017. The reversal of 5617982016 is 6102897165.

5617982016 is a `hidden beast` number, since 5 + 617 + 9 + 8 + 20 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (5617982017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4497360 + ... + 4498608.

Almost surely, 2^5617982016 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 5617982016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8763000000).

5617982016 is an abundant number, since it is smaller than the sum of its proper divisors (11908017984).

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

5617982016 is a wasteful number, since it uses less digits than its factorization.

5617982016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 5617982016 is about 74953.1988376747. The cubic root of 5617982016 is about 1777.7067230953.

The spelling of 5617982016 in words is "five billion, six hundred seventeen million, nine hundred eighty-two thousand, sixteen".