5845985280 has 288 divisors, whose sum is σ = 20423075400. Its totient is φ = 1546518528.

The previous prime is 5845985273. The next prime is 5845985351. The reversal of 5845985280 is 825895485.

It is a happy number.

5845985280 is a `hidden beast` number, since 584 + 5 + 9 + 8 + 52 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5033051136 + 812934144 = 70944^2 + 28512^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21104502 + ... + 21104778.

Almost surely, 2^5845985280 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 5845985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10211537700).

5845985280 is an abundant number, since it is smaller than the sum of its proper divisors (14577090120).

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

5845985280 is a wasteful number, since it uses less digits than its factorization.

5845985280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The square root of 5845985280 is about 76459.0431538350. The cubic root of 5845985280 is about 1801.4376662401.

The spelling of 5845985280 in words is "five billion, eight hundred forty-five million, nine hundred eighty-five thousand, two hundred eighty".