168217420800 has 1584 divisors, whose sum is σ = 706937378112. Its totient is φ = 34760294400.

The previous prime is 168217420799. The next prime is 168217420883. The reversal of 168217420800 is 8024712861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3173913574 + ... + 3173913626.

Almost surely, 2^168217420800 is an apocalyptic number.

168217420800 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 168217420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353468689056).

168217420800 is an abundant number, since it is smaller than the sum of its proper divisors (538719957312).

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

168217420800 is a wasteful number, since it uses less digits than its factorization.

168217420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 168217420800 in words is "one hundred sixty-eight billion, two hundred seventeen million, four hundred twenty thousand, eight hundred".