5966894160 has 280 divisors, whose sum is σ = 21026705544. Its totient is φ = 1573862400.

The previous prime is 5966894137. The next prime is 5966894201. The reversal of 5966894160 is 614986695.

It is a happy number.

5966894160 is a `hidden beast` number, since 596 + 6 + 8 + 9 + 41 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 349091856 + 5617802304 = 18684^2 + 74952^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5966894097 and 5966894106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5889814 + ... + 5890826.

Almost surely, 2^5966894160 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 5966894160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10513352772).

5966894160 is an abundant number, since it is smaller than the sum of its proper divisors (15059811384).

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

5966894160 is a wasteful number, since it uses less digits than its factorization.

5966894160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 5966894160 is about 77245.6740536323. The cubic root of 5966894160 is about 1813.7723547137.

The spelling of 5966894160 in words is "five billion, nine hundred sixty-six million, eight hundred ninety-four thousand, one hundred sixty".