1682125113672 has 80 divisors (see below), whose sum is σ = 4715182430640. Its totient is φ = 560271065184.

The previous prime is 1682125113659. The next prime is 1682125113719. The reversal of 1682125113672 is 2763115212861.

1682125113672 is a `hidden beast` number, since 1 + 68 + 2 + 1 + 2 + 511 + 3 + 6 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 180258 + ... + 1843025.

It is an arithmetic number, because the mean of its divisors is an integer number (58939780383).

Almost surely, 2^{1682125113672} is an apocalyptic number.

1682125113672 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 1682125113672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357591215320).

1682125113672 is an abundant number, since it is smaller than the sum of its proper divisors (3033057316968).

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

1682125113672 is a wasteful number, since it uses less digits than its factorization.

1682125113672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024584 (or 2024571 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 1682125113672 in words is "one trillion, six hundred eighty-two billion, one hundred twenty-five million, one hundred thirteen thousand, six hundred seventy-two".