1685872666800 has 1440 divisors, whose sum is σ = 7662151590912. Its totient is φ = 346851901440.

The previous prime is 1685872666789. The next prime is 1685872666871. The reversal of 1685872666800 is 86662785861.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 266033232 + ... + 266039568.

Almost surely, 2^{1685872666800} is an apocalyptic number.

1685872666800 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 1685872666800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831075795456).

1685872666800 is an abundant number, since it is smaller than the sum of its proper divisors (5976278924112).

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

1685872666800 is a wasteful number, since it uses less digits than its factorization.

1685872666800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6417 (or 6394 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 1685872666800 in words is "one trillion, six hundred eighty-five billion, eight hundred seventy-two million, six hundred sixty-six thousand, eight hundred".