5901880320 has 880 divisors, whose sum is σ = 25680188160. Its totient is φ = 1266057216.

The previous prime is 5901880291. The next prime is 5901880351. The reversal of 5901880320 is 230881095.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55157707 + ... + 55157813.

It is an arithmetic number, because the mean of its divisors is an integer number (29182032).

Almost surely, 2^5901880320 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 5901880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12840094080).

5901880320 is an abundant number, since it is smaller than the sum of its proper divisors (19778307840).

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

5901880320 is a wasteful number, since it uses less digits than its factorization.

5901880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 5901880320 is about 76823.6963442921. The cubic root of 5901880320 is about 1807.1608082378.

The spelling of 5901880320 in words is "five billion, nine hundred one million, eight hundred eighty thousand, three hundred twenty".