5802565040 has 160 divisors (see below), whose sum is σ = 14624064000. Its totient is φ = 2134370304.

The previous prime is 5802565031. The next prime is 5802565061. The reversal of 5802565040 is 405652085.

It is a super-2 number, since 2×5802565040² = 67339522086860403200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 7981157 + ... + 7981883.

It is an arithmetic number, because the mean of its divisors is an integer number (91400400).

Almost surely, 2^5802565040 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 5802565040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312032000).

5802565040 is an abundant number, since it is smaller than the sum of its proper divisors (8821498960).

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

5802565040 is a wasteful number, since it uses less digits than its factorization.

5802565040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The square root of 5802565040 is about 76174.5695097780. The cubic root of 5802565040 is about 1796.9666028623.

The spelling of 5802565040 in words is "five billion, eight hundred two million, five hundred sixty-five thousand, forty".