5082860160 has 1152 divisors, whose sum is σ = 22855996800. Its totient is φ = 1072963584.

The previous prime is 5082860143. The next prime is 5082860173. The reversal of 5082860160 is 610682805.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×5082860160² = 51670934812230451200, which contains 22 as substring.

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

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, 175271026 + ... + 175271054.

It is an arithmetic number, because the mean of its divisors is an integer number (19840275).

Almost surely, 2^5082860160 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 5082860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11427998400).

5082860160 is an abundant number, since it is smaller than the sum of its proper divisors (17773136640).

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

5082860160 is a wasteful number, since it uses less digits than its factorization.

5082860160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5082860160 is about 71294.1804076602. The cubic root of 5082860160 is about 1719.3701678088.

The spelling of 5082860160 in words is "five billion, eighty-two million, eight hundred sixty thousand, one hundred sixty".