168195148800 has 264 divisors, whose sum is σ = 635309147136. Its totient is φ = 38444482560.

The previous prime is 168195148763. The next prime is 168195148801. The reversal of 168195148800 is 8841591861.

It is not an unprimeable number, because it can be changed into a prime (168195148801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381169 + ... + 694031.

Almost surely, 2^168195148800 is an apocalyptic number.

168195148800 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 168195148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317654573568).

168195148800 is an abundant number, since it is smaller than the sum of its proper divisors (467113998336).

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

168195148800 is a wasteful number, since it uses less digits than its factorization.

168195148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312903 (or 312880 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 51.

The spelling of 168195148800 in words is "one hundred sixty-eight billion, one hundred ninety-five million, one hundred forty-eight thousand, eight hundred".