5840160832000 has 240 divisors, whose sum is σ = 16007072497416. Its totient is φ = 2123692032000.

The previous prime is 5840160831949. The next prime is 5840160832001. The reversal of 5840160832000 is 2380610485.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3776088422656 + 2064072409344 = 1943216^2 + 1436688^2 .

It is not an unprimeable number, because it can be changed into a prime (5840160832001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7366924 + ... + 8121076.

Almost surely, 2^{5840160832000} is an apocalyptic number.

5840160832000 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 5840160832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8003536248708).

5840160832000 is an abundant number, since it is smaller than the sum of its proper divisors (10166911665416).

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

5840160832000 is an equidigital number, since it uses as much as digits as its factorization.

5840160832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754208 (or 754171 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 5840160832000 in words is "five trillion, eight hundred forty billion, one hundred sixty million, eight hundred thirty-two thousand".