5801725440 has 600 divisors, whose sum is σ = 24214925592. Its totient is φ = 1323786240.

The previous prime is 5801725429. The next prime is 5801725469. The reversal of 5801725440 is 445271085.

5801725440 is a `hidden beast` number, since 580 + 1 + 72 + 5 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×5801725440² = 67320036162286387200, which contains 22 as substring.

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 = 5801725395 and 5801725404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10160355 + ... + 10160925.

Almost surely, 2^5801725440 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 5801725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12107462796).

5801725440 is an abundant number, since it is smaller than the sum of its proper divisors (18413200152).

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

5801725440 is an equidigital number, since it uses as much as digits as its factorization.

5801725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 5801725440 is about 76169.0582848442. The cubic root of 5801725440 is about 1796.8799282093.

The spelling of 5801725440 in words is "five billion, eight hundred one million, seven hundred twenty-five thousand, four hundred forty".