5582142720 has 1296 divisors, whose sum is σ = 26172357120. Its totient is φ = 1083801600.

The previous prime is 5582142703. The next prime is 5582142737. The reversal of 5582142720 is 272412855.

It is a happy number.

5582142720 is a `hidden beast` number, since 5 + 582 + 1 + 4 + 2 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5582142703) and next prime (5582142737).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 180069105 + ... + 180069135.

It is an arithmetic number, because the mean of its divisors is an integer number (20194720).

Almost surely, 2^5582142720 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 5582142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13086178560).

5582142720 is an abundant number, since it is smaller than the sum of its proper divisors (20590214400).

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

5582142720 is a wasteful number, since it uses less digits than its factorization.

5582142720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 5582142720 is about 74713.7384956743. The cubic root of 5582142720 is about 1773.9184280464.

The spelling of 5582142720 in words is "five billion, five hundred eighty-two million, one hundred forty-two thousand, seven hundred twenty".