5582082816 has 144 divisors (see below), whose sum is σ = 16639795200. Its totient is φ = 1845752832.

The previous prime is 5582082799. The next prime is 5582082829. The reversal of 5582082816 is 6182802855.

5582082816 is a `hidden beast` number, since 558 + 2 + 0 + 82 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 874645 + ... + 881003.

Almost surely, 2^5582082816 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 5582082816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8319897600).

5582082816 is an abundant number, since it is smaller than the sum of its proper divisors (11057712384).

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

5582082816 is a wasteful number, since it uses less digits than its factorization.

5582082816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6511 (or 6491 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 5582082816 is about 74713.3376044733. The cubic root of 5582082816 is about 1773.9120825029.

The spelling of 5582082816 in words is "five billion, five hundred eighty-two million, eighty-two thousand, eight hundred sixteen".