5481946960560 has 960 divisors, whose sum is σ = 22936716241920. Its totient is φ = 1145513041920.

The previous prime is 5481946960493. The next prime is 5481946960561. The reversal of 5481946960560 is 650696491845.

5481946960560 is a `hidden beast` number, since 5 + 4 + 8 + 1 + 9 + 4 + 6 + 9 + 60 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5481946960561) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 309583227 + ... + 309600933.

It is an arithmetic number, because the mean of its divisors is an integer number (23892412752).

Almost surely, 2^{5481946960560} 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 5481946960560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11468358120960).

5481946960560 is an abundant number, since it is smaller than the sum of its proper divisors (17454769281360).

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

5481946960560 is a wasteful number, since it uses less digits than its factorization.

5481946960560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17866 (or 17857 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 5481946960560 in words is "five trillion, four hundred eighty-one billion, nine hundred forty-six million, nine hundred sixty thousand, five hundred sixty".