5461532160 has 480 divisors, whose sum is σ = 21227069952. Its totient is φ = 1192181760.

The previous prime is 5461532143. The next prime is 5461532173. The reversal of 5461532160 is 612351645.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8655045 + ... + 8655675.

Almost surely, 2^5461532160 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 5461532160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10613534976).

5461532160 is an abundant number, since it is smaller than the sum of its proper divisors (15765537792).

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

5461532160 is a wasteful number, since it uses less digits than its factorization.

5461532160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 5461532160 is about 73902.1796701559. The cubic root of 5461532160 is about 1761.0492366247.

The spelling of 5461532160 in words is "five billion, four hundred sixty-one million, five hundred thirty-two thousand, one hundred sixty".