5405488598016 has 1760 divisors, whose sum is σ = 19174540492800. Its totient is φ = 1503024906240.

The previous prime is 5405488598011. The next prime is 5405488598077. The reversal of 5405488598016 is 6108958845045.

5405488598016 is a `hidden beast` number, since 5 + 4 + 0 + 548 + 8 + 5 + 9 + 80 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (5405488598011) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 60735826900 + ... + 60735826988.

It is an arithmetic number, because the mean of its divisors is an integer number (10894625280).

Almost surely, 2^{5405488598016} 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 5405488598016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9587270246400).

5405488598016 is an abundant number, since it is smaller than the sum of its proper divisors (13769051894784).

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

5405488598016 is a wasteful number, since it uses less digits than its factorization.

5405488598016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 63.

The spelling of 5405488598016 in words is "five trillion, four hundred five billion, four hundred eighty-eight million, five hundred ninety-eight thousand, sixteen".