1682170700112 has 720 divisors, whose sum is σ = 5750903418624. Its totient is φ = 457228800000.

The previous prime is 1682170700099. The next prime is 1682170700191. The reversal of 1682170700112 is 2110070712861.

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 143 ways as a sum of consecutive naturals, for example, 2798952612 + ... + 2798953212.

Almost surely, 2^{1682170700112} is an apocalyptic number.

1682170700112 is a gapful number since it is divisible by the number (12) 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 1682170700112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875451709312).

1682170700112 is an abundant number, since it is smaller than the sum of its proper divisors (4068732718512).

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

1682170700112 is a wasteful number, since it uses less digits than its factorization.

1682170700112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

The spelling of 1682170700112 in words is "one trillion, six hundred eighty-two billion, one hundred seventy million, seven hundred thousand, one hundred twelve".