168955644985920 has 1120 divisors, whose sum is σ = 703279444116480. Its totient is φ = 38129164369920.

The previous prime is 168955644985867. The next prime is 168955644985949. The reversal of 168955644985920 is 29589446559861.

168955644985920 is a `hidden beast` number, since 1 + 6 + 8 + 9 + 5 + 5 + 6 + 449 + 85 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 168955644985920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 198043794 + ... + 198895086.

It is an arithmetic number, because the mean of its divisors is an integer number (627928075104).

Almost surely, 2^{168955644985920} is an apocalyptic number.

168955644985920 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 168955644985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351639722058240).

168955644985920 is an abundant number, since it is smaller than the sum of its proper divisors (534323799130560).

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

168955644985920 is a wasteful number, since it uses less digits than its factorization.

168955644985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851385 (or 851366 counting only the distinct ones).

The product of its (nonzero) digits is 6718464000, while the sum is 81.

The spelling of 168955644985920 in words is "one hundred sixty-eight trillion, nine hundred fifty-five billion, six hundred forty-four million, nine hundred eighty-five thousand, nine hundred twenty".