5901984000 has 1008 divisors, whose sum is σ = 25093321344. Its totient is φ = 1368576000.

The previous prime is 5901983987. The next prime is 5901984001. The reversal of 5901984000 is 4891095.

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

It is not an unprimeable number, because it can be changed into a prime (5901984001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 256607989 + ... + 256608011.

It is an arithmetic number, because the mean of its divisors is an integer number (24894168).

Almost surely, 2^5901984000 is an apocalyptic number.

5901984000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5901984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12546660672).

5901984000 is an abundant number, since it is smaller than the sum of its proper divisors (19191337344).

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

5901984000 is an equidigital number, since it uses as much as digits as its factorization.

5901984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 5901984000 is about 76824.3711331242. The cubic root of 5901984000 is about 1807.1713904774.

The spelling of 5901984000 in words is "five billion, nine hundred one million, nine hundred eighty-four thousand".