5779161984960 has 1792 divisors, whose sum is σ = 26119797473280. Its totient is φ = 1170087690240.

The previous prime is 5779161984923. The next prime is 5779161984971. The reversal of 5779161984960 is 694891619775.

5779161984960 is a `hidden beast` number, since 5 + 7 + 79 + 1 + 61 + 9 + 8 + 496 + 0 = 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 (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3095425947 + ... + 3095427813.

It is an arithmetic number, because the mean of its divisors is an integer number (14575779840).

Almost surely, 2^{5779161984960} 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 5779161984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13059898736640).

5779161984960 is an abundant number, since it is smaller than the sum of its proper divisors (20340635488320).

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

5779161984960 is a wasteful number, since it uses less digits than its factorization.

5779161984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 72.

The spelling of 5779161984960 in words is "five trillion, seven hundred seventy-nine billion, one hundred sixty-one million, nine hundred eighty-four thousand, nine hundred sixty".