168216471521280 has 6912 divisors, whose sum is σ = 822170539008000. Its totient is φ = 31372228952064.

The previous prime is 168216471521233. The next prime is 168216471521387. The reversal of 168216471521280 is 82125174612861.

168216471521280 is a `hidden beast` number, since 1 + 6 + 8 + 21 + 6 + 4 + 71 + 521 + 28 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2026704476119 + ... + 2026704476201.

It is an arithmetic number, because the mean of its divisors is an integer number (118948284000).

Almost surely, 2^{168216471521280} is an apocalyptic number.

168216471521280 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 168216471521280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411085269504000).

168216471521280 is an abundant number, since it is smaller than the sum of its proper divisors (653954067486720).

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

168216471521280 is a wasteful number, since it uses less digits than its factorization.

168216471521280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 168216471521280 in words is "one hundred sixty-eight trillion, two hundred sixteen billion, four hundred seventy-one million, five hundred twenty-one thousand, two hundred eighty".