5480295874560 has 1440 divisors, whose sum is σ = 21477525975360. Its totient is φ = 1341542891520.

The previous prime is 5480295874541. The next prime is 5480295874589. The reversal of 5480295874560 is 654785920845.

5480295874560 is a `hidden beast` number, since 5 + 4 + 8 + 0 + 2 + 9 + 587 + 45 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30277877670 + ... + 30277877850.

It is an arithmetic number, because the mean of its divisors is an integer number (14914948594).

Almost surely, 2^{5480295874560} 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 5480295874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10738762987680).

5480295874560 is an abundant number, since it is smaller than the sum of its proper divisors (15997230100800).

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

5480295874560 is an frugal number, since it uses more digits than its factorization.

5480295874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 5480295874560 in words is "five trillion, four hundred eighty billion, two hundred ninety-five million, eight hundred seventy-four thousand, five hundred sixty".