1705378220256 has 192 divisors, whose sum is σ = 4624150809600. Its totient is φ = 550068320256.

The previous prime is 1705378220209. The next prime is 1705378220261. The reversal of 1705378220256 is 6520228735071.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 124664425 + ... + 124678103.

It is an arithmetic number, because the mean of its divisors is an integer number (24084118800).

Almost surely, 2^{1705378220256} is an apocalyptic number.

1705378220256 is a gapful number since it is divisible by the number (16) 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 1705378220256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312075404800).

1705378220256 is an abundant number, since it is smaller than the sum of its proper divisors (2918772589344).

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

1705378220256 is a wasteful number, since it uses less digits than its factorization.

1705378220256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14081 (or 14073 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 1705378220256 in words is "one trillion, seven hundred five billion, three hundred seventy-eight million, two hundred twenty thousand, two hundred fifty-six".