1685541312000 has 2240 divisors, whose sum is σ = 7775377593984. Its totient is φ = 354734899200.

The previous prime is 1685541311981. The next prime is 1685541312017. The reversal of 1685541312000 is 2131455861.

1685541312000 is a `hidden beast` number, since 1 + 6 + 85 + 541 + 31 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4245695802 + ... + 4245696198.

Almost surely, 2^{1685541312000} is an apocalyptic number.

1685541312000 is a gapful number since it is divisible by the number (10) 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 1685541312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887688796992).

1685541312000 is an abundant number, since it is smaller than the sum of its proper divisors (6089836281984).

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

1685541312000 is an frugal number, since it uses more digits than its factorization.

1685541312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 1685541312000 its reverse (2131455861), we get a palindrome (1687672767861).

The spelling of 1685541312000 in words is "one trillion, six hundred eighty-five billion, five hundred forty-one million, three hundred twelve thousand".