5820535260 has 288 divisors, whose sum is σ = 19020718080. Its totient is φ = 1493137152.

The previous prime is 5820535249. The next prime is 5820535289. The reversal of 5820535260 is 625350285.

It is a happy number.

5820535260 is a `hidden beast` number, since 5 + 82 + 0 + 53 + 526 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15197029 + ... + 15197411.

It is an arithmetic number, because the mean of its divisors is an integer number (66044160).

Almost surely, 2^5820535260 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 5820535260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9510359040).

5820535260 is an abundant number, since it is smaller than the sum of its proper divisors (13200182820).

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

5820535260 is a wasteful number, since it uses less digits than its factorization.

5820535260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5820535260 is about 76292.4325211878. The cubic root of 5820535260 is about 1798.8197262546.

The spelling of 5820535260 in words is "five billion, eight hundred twenty million, five hundred thirty-five thousand, two hundred sixty".