4505705577560 has 128 divisors (see below), whose sum is σ = 11220351206400. Its totient is φ = 1614774696960.

The previous prime is 4505705577559. The next prime is 4505705577617. The reversal of 4505705577560 is 657755075054.

It is a junction number, because it is equal to n+sod(n) for n = 4505705577496 and 4505705577505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8110049 + ... + 8647791.

It is an arithmetic number, because the mean of its divisors is an integer number (87658993800).

Almost surely, 2^{4505705577560} is an apocalyptic number.

4505705577560 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 4505705577560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5610175603200).

4505705577560 is an abundant number, since it is smaller than the sum of its proper divisors (6714645628840).

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

4505705577560 is a wasteful number, since it uses less digits than its factorization.

4505705577560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538041 (or 538037 counting only the distinct ones).

The product of its (nonzero) digits is 25725000, while the sum is 56.

The spelling of 4505705577560 in words is "four trillion, five hundred five billion, seven hundred five million, five hundred seventy-seven thousand, five hundred sixty".