1985087685888 has 576 divisors, whose sum is σ = 6250695897600. Its totient is φ = 620129157120.

The previous prime is 1985087685793. The next prime is 1985087685899. The reversal of 1985087685888 is 8885867805891.

It is a tau number, because it is divible by the number of its divisors (576).

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, 1680852658 + ... + 1680853838.

It is an arithmetic number, because the mean of its divisors is an integer number (10851902600).

Almost surely, 2^{1985087685888} is an apocalyptic number.

1985087685888 is a gapful number since it is divisible by the number (18) 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 1985087685888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125347948800).

1985087685888 is an abundant number, since it is smaller than the sum of its proper divisors (4265608211712).

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

1985087685888 is a wasteful number, since it uses less digits than its factorization.

1985087685888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 2477260800, while the sum is 81.

The spelling of 1985087685888 in words is "one trillion, nine hundred eighty-five billion, eighty-seven million, six hundred eighty-five thousand, eight hundred eighty-eight".