163968129600 has 336 divisors, whose sum is σ = 587691926976. Its totient is φ = 39693312000.

The previous prime is 163968129487. The next prime is 163968129613. The reversal of 163968129600 is 6921869361.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46303830 + ... + 46307370.

It is an arithmetic number, because the mean of its divisors is an integer number (1749083116).

Almost surely, 2^163968129600 is an apocalyptic number.

163968129600 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 163968129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293845963488).

163968129600 is an abundant number, since it is smaller than the sum of its proper divisors (423723797376).

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

163968129600 is a wasteful number, since it uses less digits than its factorization.

163968129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4454 (or 4439 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The spelling of 163968129600 in words is "one hundred sixty-three billion, nine hundred sixty-eight million, one hundred twenty-nine thousand, six hundred".