4505268418560 has 1440 divisors, whose sum is σ = 20232083551680. Its totient is φ = 950450651136.

The previous prime is 4505268418477. The next prime is 4505268418597. The reversal of 4505268418560 is 658148625054.

4505268418560 is a `hidden beast` number, since 4 + 5 + 0 + 5 + 2 + 68 + 4 + 18 + 560 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4505268418497 and 4505268418506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 528349017 + ... + 528357543.

It is an arithmetic number, because the mean of its divisors is an integer number (14050058022).

Almost surely, 2^{4505268418560} is an apocalyptic number.

4505268418560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4505268418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10116041775840).

4505268418560 is an abundant number, since it is smaller than the sum of its proper divisors (15726815133120).

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

4505268418560 is a wasteful number, since it uses less digits than its factorization.

4505268418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8593 (or 8557 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 4505268418560 in words is "four trillion, five hundred five billion, two hundred sixty-eight million, four hundred eighteen thousand, five hundred sixty".