5085891360 has 648 divisors, whose sum is σ = 20465640468. Its totient is φ = 1148928000.

The previous prime is 5085891337. The next prime is 5085891389. The reversal of 5085891360 is 631985805.

5085891360 is a `hidden beast` number, since 5 + 0 + 8 + 589 + 1 + 3 + 60 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4729587984 + 356303376 = 68772^2 + 18876^2 .

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 (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 50355310 + ... + 50355410.

Almost surely, 2^5085891360 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 5085891360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10232820234).

5085891360 is an abundant number, since it is smaller than the sum of its proper divisors (15379749108).

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

5085891360 is a wasteful number, since it uses less digits than its factorization.

5085891360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 5085891360 is about 71315.4356363333. The cubic root of 5085891360 is about 1719.7118861202.

The spelling of 5085891360 in words is "five billion, eighty-five million, eight hundred ninety-one thousand, three hundred sixty".