171220199566320 has 960 divisors, whose sum is σ = 595825466396160. Its totient is φ = 44048184901632.

The previous prime is 171220199566319. The next prime is 171220199566333. The reversal of 171220199566320 is 23665991022171.

171220199566320 is a `hidden beast` number, since 1 + 7 + 1 + 220 + 1 + 9 + 95 + 6 + 6 + 320 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 217560608967 + ... + 217560609753.

It is an arithmetic number, because the mean of its divisors is an integer number (620651527496).

Almost surely, 2^{171220199566320} is an apocalyptic number.

171220199566320 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 171220199566320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297912733198080).

171220199566320 is an abundant number, since it is smaller than the sum of its proper divisors (424605266829840).

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

171220199566320 is a wasteful number, since it uses less digits than its factorization.

171220199566320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 171220199566320 in words is "one hundred seventy-one trillion, two hundred twenty billion, one hundred ninety-nine million, five hundred sixty-six thousand, three hundred twenty".