5705409441168 has 80 divisors (see below), whose sum is σ = 16941349910400. Its totient is φ = 1836223724160.

The previous prime is 5705409441161. The next prime is 5705409441187. The reversal of 5705409441168 is 8611449045075.

5705409441168 is a `hidden beast` number, since 5 + 7 + 0 + 540 + 94 + 4 + 1 + 1 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5705409441161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227693788 + ... + 227718843.

It is an arithmetic number, because the mean of its divisors is an integer number (211766873880).

Almost surely, 2^{5705409441168} is an apocalyptic number.

5705409441168 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

5705409441168 is an abundant number, since it is smaller than the sum of its proper divisors (11235940469232).

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

5705409441168 is a wasteful number, since it uses less digits than its factorization.

5705409441168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455412677 (or 455412665 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 5705409441168 in words is "five trillion, seven hundred five billion, four hundred nine million, four hundred forty-one thousand, one hundred sixty-eight".