1680141152160 has 576 divisors, whose sum is σ = 6312976330752. Its totient is φ = 420518117376.

The previous prime is 1680141152117. The next prime is 1680141152161. The reversal of 1680141152160 is 612511410861.

1680141152160 is a `hidden beast` number, since 1 + 6 + 80 + 1 + 411 + 5 + 2 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1680141152161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 253144362 + ... + 253150998.

It is an arithmetic number, because the mean of its divisors is an integer number (10960028352).

Almost surely, 2^{1680141152160} is an apocalyptic number.

1680141152160 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 1680141152160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156488165376).

1680141152160 is an abundant number, since it is smaller than the sum of its proper divisors (4632835178592).

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

1680141152160 is a wasteful number, since it uses less digits than its factorization.

1680141152160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7067 (or 7047 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 1680141152160 in words is "one trillion, six hundred eighty billion, one hundred forty-one million, one hundred fifty-two thousand, one hundred sixty".