5802485760 has 384 divisors, whose sum is σ = 21322828800. Its totient is φ = 1495203840.

The previous prime is 5802485719. The next prime is 5802485789. The reversal of 5802485760 is 675842085.

5802485760 is a `hidden beast` number, since 58 + 0 + 24 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8570542 + ... + 8571218.

It is an arithmetic number, because the mean of its divisors is an integer number (55528200).

Almost surely, 2^5802485760 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 5802485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10661414400).

5802485760 is an abundant number, since it is smaller than the sum of its proper divisors (15520343040).

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

5802485760 is a wasteful number, since it uses less digits than its factorization.

5802485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 5802485760 is about 76174.0491243573. The cubic root of 5802485760 is about 1796.9584188862.

The spelling of 5802485760 in words is "five billion, eight hundred two million, four hundred eighty-five thousand, seven hundred sixty".