168129561600 has 2376 divisors, whose sum is σ = 839301572928. Its totient is φ = 32248627200.

The previous prime is 168129561583. The next prime is 168129561619. The reversal of 168129561600 is 6165921861.

168129561600 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 29 + 5 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2376).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 12933043194 + ... + 12933043206.

Almost surely, 2^168129561600 is an apocalyptic number.

168129561600 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 168129561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419650786464).

168129561600 is an abundant number, since it is smaller than the sum of its proper divisors (671172011328).

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

168129561600 is an equidigital number, since it uses as much as digits as its factorization.

168129561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 168129561600 in words is "one hundred sixty-eight billion, one hundred twenty-nine million, five hundred sixty-one thousand, six hundred".