168430886400 has 1920 divisors, whose sum is σ = 736512860160. Its totient is φ = 33030144000.

The previous prime is 168430886387. The next prime is 168430886411. The reversal of 168430886400 is 4688034861.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 168430886400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4108070380 + ... + 4108070420.

It is an arithmetic number, because the mean of its divisors is an integer number (383600448).

Almost surely, 2^168430886400 is an apocalyptic number.

168430886400 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 168430886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368256430080).

168430886400 is an abundant number, since it is smaller than the sum of its proper divisors (568081973760).

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

168430886400 is a wasteful number, since it uses less digits than its factorization.

168430886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 168430886400 in words is "one hundred sixty-eight billion, four hundred thirty million, eight hundred eighty-six thousand, four hundred".