168628966921800 has 4320 divisors, whose sum is σ = 806384962512360. Its totient is φ = 32418828288000.

The previous prime is 168628966921771. The next prime is 168628966921837. The reversal of 168628966921800 is 8129669826861.

168628966921800 is a `hidden beast` number, since 1 + 6 + 86 + 289 + 6 + 6 + 92 + 180 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 223375335876 + 168405591585924 = 472626^2 + 12977118^2 .

It is a super-2 number, since 2×168628966921800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1079 ways as a sum of consecutive naturals, for example, 99603641754 + ... + 99603643446.

Almost surely, 2^{168628966921800} is an apocalyptic number.

168628966921800 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 168628966921800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403192481256180).

168628966921800 is an abundant number, since it is smaller than the sum of its proper divisors (637755995590560).

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

168628966921800 is a wasteful number, since it uses less digits than its factorization.

168628966921800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

It can be divided in two parts, 1686289 and 66921800, that added together give a square (68608089 = 8283²).

The spelling of 168628966921800 in words is "one hundred sixty-eight trillion, six hundred twenty-eight billion, nine hundred sixty-six million, nine hundred twenty-one thousand, eight hundred".