168129561600000 has 6048 divisors, whose sum is σ = 846377619115392. Its totient is φ = 32248627200000.

The previous prime is 168129561599983. The next prime is 168129561600029. The reversal of 168129561600000 is 6165921861.

168129561600000 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 29 + 5 + 616 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 12933043199994 + ... + 12933043200006.

It is an arithmetic number, because the mean of its divisors is an integer number (139943389404).

Almost surely, 2^{168129561600000} is an apocalyptic number.

168129561600000 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 168129561600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423188809557696).

168129561600000 is an abundant number, since it is smaller than the sum of its proper divisors (678248057515392).

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

168129561600000 is an frugal number, since it uses more digits than its factorization.

168129561600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 41 counting only the distinct ones).

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

The spelling of 168129561600000 in words is "one hundred sixty-eight trillion, one hundred twenty-nine billion, five hundred sixty-one million, six hundred thousand".