42831161716680 has 384 divisors, whose sum is σ = 150286033497600. Its totient is φ = 10957541317632.

The previous prime is 42831161716631. The next prime is 42831161716751. The reversal of 42831161716680 is 8661716113824.

42831161716680 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 1 + 1 + 617 + 16 + 6 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43771249 + ... + 44739071.

It is an arithmetic number, because the mean of its divisors is an integer number (391369878900).

Almost surely, 2^{42831161716680} is an apocalyptic number.

42831161716680 is a gapful number since it is divisible by the number (40) 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 42831161716680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75143016748800).

42831161716680 is an abundant number, since it is smaller than the sum of its proper divisors (107454871780920).

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

42831161716680 is a wasteful number, since it uses less digits than its factorization.

42831161716680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968035 (or 968019 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 42831161716680 in words is "forty-two trillion, eight hundred thirty-one billion, one hundred sixty-one million, seven hundred sixteen thousand, six hundred eighty".