168193821600 has 1152 divisors, whose sum is σ = 739152691200. Its totient is φ = 36055756800.

The previous prime is 168193821599. The next prime is 168193821613. The reversal of 168193821600 is 6128391861.

168193821600 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 9 + 38 + 2 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 364845370 + ... + 364845830.

It is an arithmetic number, because the mean of its divisors is an integer number (641625600).

Almost surely, 2^168193821600 is an apocalyptic number.

168193821600 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 168193821600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369576345600).

168193821600 is an abundant number, since it is smaller than the sum of its proper divisors (570958869600).

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

168193821600 is a wasteful number, since it uses less digits than its factorization.

168193821600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 168193821600 in words is "one hundred sixty-eight billion, one hundred ninety-three million, eight hundred twenty-one thousand, six hundred".