1680130336878 has 120 divisors (see below), whose sum is σ = 4381546851000. Its totient is φ = 479800534752.

The previous prime is 1680130336849. The next prime is 1680130336903. The reversal of 1680130336878 is 8786330310861.

1680130336878 is a `hidden beast` number, since 1 + 6 + 80 + 130 + 3 + 368 + 78 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16372573 + ... + 16474871.

It is an arithmetic number, because the mean of its divisors is an integer number (36512890425).

Almost surely, 2^{1680130336878} is an apocalyptic number.

1680130336878 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680130336878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190773425500).

1680130336878 is an abundant number, since it is smaller than the sum of its proper divisors (2701416514122).

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

1680130336878 is a wasteful number, since it uses less digits than its factorization.

1680130336878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104396 (or 104380 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1680130336878 in words is "one trillion, six hundred eighty billion, one hundred thirty million, three hundred thirty-six thousand, eight hundred seventy-eight".