1685104705536 has 960 divisors, whose sum is σ = 5843326003200. Its totient is φ = 420369924096.

The previous prime is 1685104705499. The next prime is 1685104705549. The reversal of 1685104705536 is 6355074015861.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6556827520 + ... + 6556827776.

It is an arithmetic number, because the mean of its divisors is an integer number (6086797920).

Almost surely, 2^{1685104705536} is an apocalyptic number.

1685104705536 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 1685104705536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921663001600).

1685104705536 is an abundant number, since it is smaller than the sum of its proper divisors (4158221297664).

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

1685104705536 is a wasteful number, since it uses less digits than its factorization.

1685104705536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The spelling of 1685104705536 in words is "one trillion, six hundred eighty-five billion, one hundred four million, seven hundred five thousand, five hundred thirty-six".