5984778616560 has 1600 divisors, whose sum is σ = 23083053840000. Its totient is φ = 1431839047680.

The previous prime is 5984778616529. The next prime is 5984778616631. The reversal of 5984778616560 is 656168774895.

5984778616560 is a `hidden beast` number, since 5 + 9 + 8 + 47 + 7 + 8 + 6 + 16 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 40166299366 + ... + 40166299514.

It is an arithmetic number, because the mean of its divisors is an integer number (14426908650).

Almost surely, 2^{5984778616560} 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 5984778616560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11541526920000).

5984778616560 is an abundant number, since it is smaller than the sum of its proper divisors (17098275223440).

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

5984778616560 is a wasteful number, since it uses less digits than its factorization.

5984778616560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 5984778616560 in words is "five trillion, nine hundred eighty-four billion, seven hundred seventy-eight million, six hundred sixteen thousand, five hundred sixty".