171311604492960 has 336 divisors, whose sum is σ = 607335586744320. Its totient is φ = 45643368844800.

The previous prime is 171311604492877. The next prime is 171311604492989. The reversal of 171311604492960 is 69294406113171.

171311604492960 is a `hidden beast` number, since 1 + 7 + 1 + 3 + 1 + 1 + 60 + 4 + 492 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 171311604492897 and 171311604492906.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 133614621 + ... + 134890659.

It is an arithmetic number, because the mean of its divisors is an integer number (1807546389120).

Almost surely, 2^{171311604492960} is an apocalyptic number.

171311604492960 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 171311604492960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303667793372160).

171311604492960 is an abundant number, since it is smaller than the sum of its proper divisors (436023982251360).

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

171311604492960 is a wasteful number, since it uses less digits than its factorization.

171311604492960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277223 (or 1277200 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 171311604492960 in words is "one hundred seventy-one trillion, three hundred eleven billion, six hundred four million, four hundred ninety-two thousand, nine hundred sixty".