5983904160 has 288 divisors, whose sum is σ = 22807249920. Its totient is φ = 1472836608.

The previous prime is 5983904153. The next prime is 5983904183. The reversal of 5983904160 is 614093895.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 499521 + ... + 511359.

It is an arithmetic number, because the mean of its divisors is an integer number (79191840).

Almost surely, 2^5983904160 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 5983904160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11403624960).

5983904160 is an abundant number, since it is smaller than the sum of its proper divisors (16823345760).

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

5983904160 is a wasteful number, since it uses less digits than its factorization.

5983904160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11882 (or 11862 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 5983904160 is about 77355.6989497219. The cubic root of 5983904160 is about 1815.4942441990.

The spelling of 5983904160 in words is "five billion, nine hundred eighty-three million, nine hundred four thousand, one hundred sixty".