5781980160 has 792 divisors, whose sum is σ = 23698905048. Its totient is φ = 1297612800.

The previous prime is 5781980153. The next prime is 5781980201. The reversal of 5781980160 is 610891875.

5781980160 is a `hidden beast` number, since 578 + 19 + 8 + 0 + 1 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 160579584 + 5621400576 = 12672^2 + 74976^2 .

It is a tau number, because it is divible by the number of its divisors (792).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94786530 + ... + 94786590.

Almost surely, 2^5781980160 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 5781980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11849452524).

5781980160 is an abundant number, since it is smaller than the sum of its proper divisors (17916924888).

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

5781980160 is a wasteful number, since it uses less digits than its factorization.

5781980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 5781980160 is about 76039.3329797152. The cubic root of 5781980160 is about 1794.8391431546.

The spelling of 5781980160 in words is "five billion, seven hundred eighty-one million, nine hundred eighty thousand, one hundred sixty".