5801361840 has 240 divisors, whose sum is σ = 20415657600. Its totient is φ = 1474357248.

The previous prime is 5801361823. The next prime is 5801361847. The reversal of 5801361840 is 481631085.

5801361840 is a `hidden beast` number, since 580 + 1 + 36 + 1 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 5801361795 and 5801361804.

It is not an unprimeable number, because it can be changed into a prime (5801361847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1647762 + ... + 1651278.

It is an arithmetic number, because the mean of its divisors is an integer number (85065240).

Almost surely, 2^5801361840 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 5801361840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10207828800).

5801361840 is an abundant number, since it is smaller than the sum of its proper divisors (14614295760).

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

5801361840 is a wasteful number, since it uses less digits than its factorization.

5801361840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5801361840 is about 76166.6714514951. The cubic root of 5801361840 is about 1796.8423899977.

The spelling of 5801361840 in words is "five billion, eight hundred one million, three hundred sixty-one thousand, eight hundred forty".