5901803040 has 288 divisors, whose sum is σ = 21997604160. Its totient is φ = 1325807616.

The previous prime is 5901803023. The next prime is 5901803053. The reversal of 5901803040 is 403081095.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5901802989 and 5901803007.

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 47 ways as a sum of consecutive naturals, for example, 1385554 + ... + 1389806.

It is an arithmetic number, because the mean of its divisors is an integer number (76380570).

Almost surely, 2^5901803040 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 5901803040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10998802080).

5901803040 is an abundant number, since it is smaller than the sum of its proper divisors (16095801120).

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

5901803040 is a wasteful number, since it uses less digits than its factorization.

5901803040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4344 (or 4329 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 5901803040 is about 76823.1933728350. The cubic root of 5901803040 is about 1807.1529204693.

The spelling of 5901803040 in words is "five billion, nine hundred one million, eight hundred three thousand, forty".