5466080160 has 144 divisors (see below), whose sum is σ = 18684777384. Its totient is φ = 1455138816.

The previous prime is 5466080101. The next prime is 5466080197. The reversal of 5466080160 is 610806645.

5466080160 is a `hidden beast` number, since 5 + 46 + 608 + 0 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4188160656 + 1277919504 = 64716^2 + 35748^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 937414 + ... + 943226.

Almost surely, 2^5466080160 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 5466080160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9342388692).

5466080160 is an abundant number, since it is smaller than the sum of its proper divisors (13218697224).

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

5466080160 is a wasteful number, since it uses less digits than its factorization.

5466080160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6487 (or 6476 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5466080160 is about 73932.9436719518. The cubic root of 5466080160 is about 1761.5379291461.

The spelling of 5466080160 in words is "five billion, four hundred sixty-six million, eighty thousand, one hundred sixty".