5705865634560 has 1728 divisors, whose sum is σ = 24081789763584. Its totient is φ = 1139539968000.

The previous prime is 5705865634523. The next prime is 5705865634561. The reversal of 5705865634560 is 654365685075.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 5705865634494 and 5705865634503.

It is not an unprimeable number, because it can be changed into a prime (5705865634561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3563937760 + ... + 3563939360.

It is an arithmetic number, because the mean of its divisors is an integer number (13936220928).

Almost surely, 2^{5705865634560} 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 5705865634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12040894881792).

5705865634560 is an abundant number, since it is smaller than the sum of its proper divisors (18375924129024).

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

5705865634560 is a wasteful number, since it uses less digits than its factorization.

5705865634560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 60.

The spelling of 5705865634560 in words is "five trillion, seven hundred five billion, eight hundred sixty-five million, six hundred thirty-four thousand, five hundred sixty".