1716170520064 has 320 divisors, whose sum is σ = 4804162513920. Its totient is φ = 590365163520.

The previous prime is 1716170520013. The next prime is 1716170520089. The reversal of 1716170520064 is 4600250716171.

It is a junction number, because it is equal to n+sod(n) for n = 1716170519999 and 1716170520026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11714982 + ... + 11860570.

It is an arithmetic number, because the mean of its divisors is an integer number (15013007856).

Almost surely, 2^{1716170520064} is an apocalyptic number.

1716170520064 is a gapful number since it is divisible by the number (14) 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 1716170520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402081256960).

1716170520064 is an abundant number, since it is smaller than the sum of its proper divisors (3087991993856).

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

1716170520064 is a wasteful number, since it uses less digits than its factorization.

1716170520064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145661 (or 145645 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The spelling of 1716170520064 in words is "one trillion, seven hundred sixteen billion, one hundred seventy million, five hundred twenty thousand, sixty-four".