171660013331040 has 1920 divisors, whose sum is σ = 713635322222592. Its totient is φ = 38513261445120.

The previous prime is 171660013331033. The next prime is 171660013331077. The reversal of 171660013331040 is 40133310066171.

171660013331040 is a `hidden beast` number, since 1 + 7 + 1 + 6 + 600 + 1 + 3 + 3 + 3 + 1 + 0 + 40 = 666.

171660013331040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 171660013330986 and 171660013331004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6831682957 + ... + 6831708083.

Almost surely, 2^{171660013331040} is an apocalyptic number.

171660013331040 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 171660013331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356817661111296).

171660013331040 is an abundant number, since it is smaller than the sum of its proper divisors (541975308891552).

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

171660013331040 is a wasteful number, since it uses less digits than its factorization.

171660013331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25274 (or 25257 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 171660013331040 in words is "one hundred seventy-one trillion, six hundred sixty billion, thirteen million, three hundred thirty-one thousand, forty".