5582829960 has 128 divisors (see below), whose sum is σ = 18626025600. Its totient is φ = 1487427840.

The previous prime is 5582829953. The next prime is 5582829961. The reversal of 5582829960 is 699282855.

5582829960 is a `hidden beast` number, since 558 + 2 + 8 + 29 + 9 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5582829897 and 5582829906.

It is not an unprimeable number, because it can be changed into a prime (5582829961) 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, 2084142 + ... + 2086818.

It is an arithmetic number, because the mean of its divisors is an integer number (145515825).

Almost surely, 2^5582829960 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 5582829960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9313012800).

5582829960 is an abundant number, since it is smaller than the sum of its proper divisors (13043195640).

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

5582829960 is a wasteful number, since it uses less digits than its factorization.

5582829960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4628 (or 4618 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 5582829960 is about 74718.3375082717. The cubic root of 5582829960 is about 1773.9912231322.

The spelling of 5582829960 in words is "five billion, five hundred eighty-two million, eight hundred twenty-nine thousand, nine hundred sixty".