168505773100 has 576 divisors, whose sum is σ = 497968128000. Its totient is φ = 48074342400.

The previous prime is 168505773089. The next prime is 168505773109. The reversal of 168505773100 is 1377505861.

168505773100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×168505773100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (168505773109) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 203263486 + ... + 203264314.

It is an arithmetic number, because the mean of its divisors is an integer number (864528000).

Almost surely, 2^168505773100 is an apocalyptic number.

168505773100 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 168505773100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248984064000).

168505773100 is an abundant number, since it is smaller than the sum of its proper divisors (329462354900).

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

168505773100 is a wasteful number, since it uses less digits than its factorization.

168505773100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 43.

The spelling of 168505773100 in words is "one hundred sixty-eight billion, five hundred five million, seven hundred seventy-three thousand, one hundred".