168580506992640 has 960 divisors, whose sum is σ = 566411934816000. Its totient is φ = 42767430451200.

The previous prime is 168580506992629. The next prime is 168580506992657. The reversal of 168580506992640 is 46299605085861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240485744290 + ... + 240485744990.

It is an arithmetic number, because the mean of its divisors is an integer number (590012432100).

Almost surely, 2^{168580506992640} is an apocalyptic number.

168580506992640 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 168580506992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283205967408000).

168580506992640 is an abundant number, since it is smaller than the sum of its proper divisors (397831427823360).

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

168580506992640 is an equidigital number, since it uses as much as digits as its factorization.

168580506992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 69.

The spelling of 168580506992640 in words is "one hundred sixty-eight trillion, five hundred eighty billion, five hundred six million, nine hundred ninety-two thousand, six hundred forty".