5870082960 has 320 divisors, whose sum is σ = 23397788160. Its totient is φ = 1341453312.

The previous prime is 5870082947. The next prime is 5870082973. The reversal of 5870082960 is 692800785.

5870082960 is a `hidden beast` number, since 587 + 0 + 0 + 8 + 2 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (5870082947) and next prime (5870082973).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1222324 + ... + 1227116.

It is an arithmetic number, because the mean of its divisors is an integer number (73118088).

Almost surely, 2^5870082960 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 5870082960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11698894080).

5870082960 is an abundant number, since it is smaller than the sum of its proper divisors (17527705200).

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

5870082960 is an equidigital number, since it uses as much as digits as its factorization.

5870082960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4834 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 5870082960 is about 76616.4666374011. The cubic root of 5870082960 is about 1803.9095026243.

The spelling of 5870082960 in words is "five billion, eight hundred seventy million, eighty-two thousand, nine hundred sixty".