5801555760 has 1280 divisors, whose sum is σ = 26878279680. Its totient is φ = 995328000.

The previous prime is 5801555737. The next prime is 5801555761. The reversal of 5801555760 is 675551085.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5801555761) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 141501340 + ... + 141501380.

It is an arithmetic number, because the mean of its divisors is an integer number (20998656).

Almost surely, 2^5801555760 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 5801555760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13439139840).

5801555760 is an abundant number, since it is smaller than the sum of its proper divisors (21076723920).

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

5801555760 is a wasteful number, since it uses less digits than its factorization.

5801555760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 210000, while the sum is 42.

The square root of 5801555760 is about 76167.9444385891. The cubic root of 5801555760 is about 1796.8624105724.

The spelling of 5801555760 in words is "five billion, eight hundred one million, five hundred fifty-five thousand, seven hundred sixty".