5935980000 has 480 divisors, whose sum is σ = 21161226240. Its totient is φ = 1451520000.

The previous prime is 5935979993. The next prime is 5935980007. The reversal of 5935980000 is 895395.

It is an interprime number because it is at equal distance from previous prime (5935979993) and next prime (5935980007).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5935980007) 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 79 ways as a sum of consecutive naturals, for example, 46739937 + ... + 46740063.

It is an arithmetic number, because the mean of its divisors is an integer number (44085888).

Almost surely, 2^5935980000 is an apocalyptic number.

5935980000 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 5935980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10580613120).

5935980000 is an abundant number, since it is smaller than the sum of its proper divisors (15225246240).

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

5935980000 is a wasteful number, since it uses less digits than its factorization.

5935980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 5935980000 is about 77045.3113433907. The cubic root of 5935980000 is about 1810.6345770020.

The spelling of 5935980000 in words is "five billion, nine hundred thirty-five million, nine hundred eighty thousand".