168051351552000 has 1088 divisors, whose sum is σ = 640652365377024. Its totient is φ = 38322516787200.

The previous prime is 168051351551981. The next prime is 168051351552001. The reversal of 168051351552000 is 255153150861.

168051351552000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168051351552001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99262463154 + ... + 99262464846.

It is an arithmetic number, because the mean of its divisors is an integer number (588834894648).

Almost surely, 2^{168051351552000} is an apocalyptic number.

168051351552000 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 168051351552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320326182688512).

168051351552000 is an abundant number, since it is smaller than the sum of its proper divisors (472601013825024).

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

168051351552000 is an frugal number, since it uses more digits than its factorization.

168051351552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 42.

The spelling of 168051351552000 in words is "one hundred sixty-eight trillion, fifty-one billion, three hundred fifty-one million, five hundred fifty-two thousand".